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business statistics

Introductory Business Statistics 1st Edition Alexander Holmes , Barbara Illowsky , Susan Dean - Solutions

Write the symbols for the probability that a player is an infielder, given that the player is a great hitter.On a baseball team, there are infielders and outfielders.Some players are great hitters, and some players are not great hitters.Let I = the event that a player in an infielder.Let O = the
Write the symbols for the probability that of all the outfielders, a player is not a great hitter.On a baseball team, there are infielders and outfielders.Some players are great hitters, and some players are not great hitters.Let I = the event that a player in an infielder.Let O = the event that a
Write the symbols for the probability that of all the great hitters, a player is an outfielder.On a baseball team, there are infielders and outfielders.Some players are great hitters, and some players are not great hitters.Let I = the event that a player in an infielder.Let O = the event that a
Write the symbols for the probability that a player is an infielder or is not a great hitter.On a baseball team, there are infielders and outfielders.Some players are great hitters, and some players are not great hitters.Let I = the event that a player in an infielder.Let O = the event that a
Write the symbols for the probability that a player is an outfielder and is a great hitter.On a baseball team, there are infielders and outfielders.Some players are great hitters, and some players are not great hitters.Let I = the event that a player in an infielder.Let O = the event that a player
Write the symbols for the probability that a player is an infielder.On a baseball team, there are infielders and outfielders.Some players are great hitters, and some players are not great hitters.Let I = the event that a player in an infielder.Let O = the event that a player is an outfielder.Let H
What is the word for the set of all possible outcomes?
What is conditional probability?
A shelf holds 12 books. Eight are fiction and the rest are nonfiction. Each is a different book with a unique title. Thefiction books are numbered one to eight. The nonfiction books are numbered one to four. Randomly select one bookLet F = event that book is fictionLet N = event that book is
What is the sum of the probabilities of an event and its complement?
What does P(E | M) mean in words?You are rolling a fair, six-sided number cube. Let E = theevent that it lands on an even number. Let M = the event that it lands on a multiple of three.
What does P(E ∪ M) mean in words?You are rolling a fair, six-sided number cube. Let E = theevent that it lands on an even number. Let M = the event that it lands on a multiple of three.
EandFare mutually exclusive events. P(E) = 0.4; P(F) = 0.5.FindP(E | F).
JandKare independent events. P(J|K) = 0.3.FindP(J).
U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find:a. P(U n V) =b. P(UIV) =C. P(U U V) =
Q and Rare independent events. P(Q) = 0.4 and P(QR) = 0.1.Find P(R).
Find P(C).Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for a person
Find P(L).Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for a person
Find P(C | L).Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for a person
In words, what is C | L?Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for a
Find P(L ∩ C).Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for a person
In words, what is L ∩ C?Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for
Are L and C independent events? Show why or why not.Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole
Find P(L ∪ C).Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for a person
In words, what is L ∪ C?Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without parole over the death penalty for
Are L and C mutually exclusive events? Show why or why not.Forty-eight percent of all Californians registered votersprefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among LatinoCalifornia registered voters, 55% prefer life in prison without
Find P(musician is a female).Table 3.12 shows a random sample of musicians and howthey learned to play their instruments. Private Instruction Total Gender Self-taught Studied in School Female 12 38 22 Male 19 24 15 Total 31 62 37 Table 3.12 72 58 130
Find P(musician is a male ∩ had private instruction).Table 3.12 shows a random sample of musicians and howthey learned to play their instruments. Private Instruction Total Gender Self-taught Studied in School Female 12 38 22 Male 19 24 15 Total 31 62 37 Table 3.12 72 58 130
Find P(musician is a female ∪ is self taught).Table 3.12 shows a random sample of musicians and howthey learned to play their instruments. Private Instruction Total Gender Self-taught Studied in School Female 12 38 22 Male 19 24 15 Total 31 62 37 Table 3.12 72 58 130
Are the events “being a female musician” and “learning music in school” mutually exclusive events?Table 3.12 shows a random sample of musicians and howthey learned to play their instruments. Private Instruction Total Gender Self-taught Studied in School Female 12 38 22 Male 19 24 15 Total
The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability that a man has atleast one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51. Let: C =a man develops cancer in his lifetime; P = man has at
Complete the table using the data provided. Suppose that one person from the study is randomly selected. Find theprobability that person smoked 11 to 20 cigarettes per day.An article in the New England Journal of Medicine,reported about a study of smokers in California and Hawaii. In one part of
Suppose that one person from the study is randomly selected. Find the probability that person smoked 11 to 20 cigarettesper day.An article in the New England Journal of Medicine,reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and
Find the probability that the person was Latino.An article in the New England Journal of Medicine,reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smokinglevels per day were given. Of the people smoking at most ten cigarettes per
In words, explain what it means to pick one person from the study who is “Japanese American AND smokes 21 to 30cigarettes per day.” Also, find the probability.An article in the New England Journal of Medicine,reported about a study of smokers in California and Hawaii. In one part of the report,
In words, explain what it means to pick one person from the study who is “Japanese American ∪ smokes 21 to 30 cigarettes per day.” Also, find the probability.An article in the New England Journal of Medicine, reported about a study of smokers in California and Hawaii. In one part of the
In words, explain what it means to pick one person from the study who is “Japanese American | that person smokes 21to 30 cigarettes per day.” Also, find the probability.An article in the New England Journal of Medicine,reported about a study of smokers in California and Hawaii. In one part of
Prove that smoking level/day and ethnicity are dependent events.An article in the New England Journal of Medicine,reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smokinglevels per day were given. Of the people smoking at most
Suppose that you randomly draw two cards, one at a time, with replacement.Let G1 = first card is greenLet G2 = second card is greena. Draw a tree diagram of the situation.b. Find P(G1 ∩ G2).c. Find P(at least one green).d. Find P(G2 | G1).e. Are G2 and G1 independent events? Explain why or why
Suppose that you randomly draw two cards, one at a time, without replacement.G1 = first card is greenG2 = second card is greena. Draw a tree diagram of the situation.b. Find P(G1 ∩ G2).c. Find P(at least one green).d. Find P(G2 | G1).e. Are G2 and G1 independent events? Explain why or why
Complete the following.a. Construct a table or a tree diagram of the situation.b. Find P(driver is female).c. Find P(driver is age 65 or over | driver is female).d. Find P(driver is age 65 or over ∩ female).e. In words, explain the difference between the probabilities in part c and part d.f. Find
Suppose that 10,000 U.S. licensed drivers are randomly selected.a. How many would you expect to be male?b. Using the table or tree diagram, construct a contingency table of gender versus age group.c. Using the contingency table, find the probability that out of the age 20–64 group, a randomly
Approximately 86.5% of Americans commute to work by car, truck, or van. Out of that group, 84.6% drive alone and15.4% drive in a carpool. Approximately 3.9% walk to work and approximately 5.3% take public transportation.a. Construct a table or a tree diagram of the situation. Include a branch for
When the Euro coin was introduced in 2002, two math professors had their statistics students test whether the Belgian one Euro coin was a fair coin. They spun the coin rather than tossing it and found that out of 250 spins, 140 showed a head(event H) while 110 showed a tail (event T). On that
Figure 3.17 The graph in Figure 3.17 displays the sample sizes and percentages of people in different age and gender groups who were polled concerning their approval of Mayor Ford’s actions in office. The total number in the sample of all the age groups is 1,045.a. Define three events in the
Explain what is wrong with the following statements. Use complete sentences.a. If there is a 60% chance of rain on Saturday and a 70% chance of rain on Sunday, then there is a 130% chance ofrain over the weekend.b. The probability that a baseball player hits a home run is greater than the
Find the probability that an Emotional Health Index Score is 82.7.The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index Scores are the
Find the probability that an Emotional Health Index Score is 81.0.The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index Scores are the
Find the probability that an Emotional Health Index Score is more than 81?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index Scores
Find the probability that an Emotional Health Index Score is between 80.5 and 82?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index
If we know an Emotional Health Index Score is 81.5 or more, what is the probability that it is 82.7?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The
What is the probability that an Emotional Health Index Score is 80.7 or 82.7?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index
What is the probability that an Emotional Health Index Score is less than 80.2 given that it is already less than 81.The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or
What occupation has the highest emotional index score?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index Scores are the sample
What occupation has the lowest emotional index score?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index Scores are the sample
What is the range of the data?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index Scores are the sample space.We randomly sample one
Compute the average EHIS.The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists of employed Americans 18 yearsof age or older. The Emotional Health Index Scores are the sample space.We randomly sample one
If all occupations are equally likely for a certain individual, what is the probability that he or she will have an occupationwith lower than average EHIS?The graph shown is based on more than 170,000 interviewsdone by Gallup that took place from January through December 2012. The sample consists
On February 28, 2013, a Field Poll Survey reported that 61% of California registered voters approved of allowing twopeople of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (Californiaregistered voters), the approval rating was 78%. Six in ten
After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled1,046 people to measure the mayor’s popularity. Everyone polled expressed either approval or disapproval. These are theresults their poll produced:• In early 2011, 60 percent of
a. List the sample space of the 38 possible outcomes in roulette.b. You bet on red. Find P(red).c. You bet on -1st 12- (1st Dozen). Find P(-1st 12-).d. You bet on an even number. Find P(even number).e. Is getting an odd number the complement of getting an even number? Why?f. Find two mutually
Compute the probability of winning the following types of bets:a. Betting on two lines that touch each other on the table as in 1-2-3-4-5-6b. Betting on three numbers in a line, as in 1-2-3c. Betting on one numberd. Betting on four numbers that touch each other to form a square, as in 10-11-13-14e.
Compute the probability of winning the following types of bets:a. Betting on a colorb. Betting on one of the dozen groupsc. Betting on the range of numbers from 1 to 18d. Betting on the range of numbers 19–36e. Betting on one of the columnsf. Betting on an even or odd number (excluding zero)The
Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4,and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.• G = card drawn is green• E = card drawn is even-numbereda. List
Roll two fair dice separately. Each die has six faces.a. List the sample space.b. Let A be the event that either a three or four is rolled first, followed by an even number. Find P(A).c. Let B be the event that the sum of the two rolls is at most seven. Find P(B).d. In words, explain what “P(A |
A special deck of cards has ten cards. Four are green, three are blue, and three are red. When a card is picked, its colorof it is recorded. An experiment consists of first picking a card and then tossing a coin.a. List the sample space.b. Let A be the event that a blue card is picked first,
An experiment consists of first rolling a die and then tossing a coin.a. List the sample space.b. Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. FindP(A).c. Let B be the event that the first and second tosses land on heads. Are the
An experiment consists of tossing a nickel, a dime, and a quarter. Of interest is the side the coin lands on.a. List the sample space.b. Let A be the event that there are at least two tails. Find P(A).c. Let B be the event that the first and second tosses land on heads. Are the events A and B
Consider the following scenario:Let P (C) = 0.4.Let P (D) = 0.5.Let P(C | D) = 0.6.a. Find P(C ∩ D).b. Are C and D mutually exclusive? Why or why not?c. Are C and D independent events? Why or why not?d. Find P(C ∪ D).e. Find P(D | C).
Y and Z are independent events.a. Rewrite the basic Addition Rule P(Y ∪ Z) = P(Y) + P(Z) - P(Y ∩ Z) using the information that Y and Z areindependent events.b. Use the rewritten rule to find P(Z) if P(Y ∪ Z) = 0.71 and P(Y) = 0.42.
G and H are mutually exclusive events. P (G) = 0.5 P (H) = 0.3a. Explain why the following statement MUST be false: P(H |G) = 0.4.b. Find P(H ∪ G).c. Are G and H independent or dependent events? Explain in a complete sentence.
Approximately 281,000,000 people over age five live in the United States. Of these people, 55,000,000 speak a language other than English at home. Of those who speak another language at home, 62.3% speak Spanish.Let: E = speaks English at home; E′ = speaks another language at home; S = speaks
1994, the U.S. government held a lottery to issue 55,000 Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5 million people who entered this lottery. Let G = won green card.a. What was Renate’s chance of winning a Green
Three professors at George Washington University did an experiment to determine if economists are more selfishthan other people. They dropped 64 stamped, addressed envelopes with $10 cash in different classrooms on the GeorgeWashington campus. 44% were returned overall. From the economics classes
The following table of data obtained from www.baseball-almanac.com shows hit information for four players.Suppose that one hit from the table is randomly selected.Are "the hit being made by Hank Aaron" and "the hit being a double" independent events?a. Yes, because P(hit by Hank Aaron | hit is a
United Blood Services is a blood bank that serves more than 500 hospitals in 18 states. According to their website,a person with type O blood and a negative Rh factor (Rh-) can donate blood to any person with any bloodtype. Their datashow that 43% of people have type O blood and 15% of people have
At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% ofcourses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that acourse requires a research paper.a. Find the probability that a
In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. Of those, 8% contain both chocolate andnuts. Sean is allergic to both chocolate and nuts.a. Find the probability that a cookie contains chocolate or nuts (he can't eat it).b. Find the probability that a cookie does not
A college finds that 10% of students have taken a distance learning class and that 40% of students are part timestudents. Of the part time students, 20% have taken a distance learning class. Let D = event that a student takes a distancelearning class and E = event that a student is a part time
What is the probability that a randomly selected senator has an “Other” affiliation?The table shows the political party affiliation ofeach of 67 members of the US Senate in June 2012, and when they are up for reelection. Up for reelection: Democratic Party Republican Party 13 November 2014 20
What is the probability that a randomly selected senator is up for reelection in November 2016?The table shows the political party affiliation ofeach of 67 members of the US Senate in June 2012, and when they are up for reelection. Up for reelection: Democratic Party Republican Party 13 November
What is the probability that a randomly selected senator is a Democrat and up for reelection in November 2016?The table shows the political party affiliation ofeach of 67 members of the US Senate in June 2012, and when they are up for reelection. Up for reelection: Democratic Party Republican Party
What is the probability that a randomly selected senator is a Republican or is up for reelection in November 2014?The table shows the political party affiliation ofeach of 67 members of the US Senate in June 2012, and when they are up for reelection. Up for reelection: Democratic Party Republican
Suppose that a member of the US Senate is randomly selected. Given that the randomly selected senator is up forreelection in November 2016, what is the probability that this senator is a Democrat?The table shows the political party affiliation ofeach of 67 members of the US Senate in June 2012, and
Suppose that a member of the US Senate is randomly selected. What is the probability that the senator is up forreelection in November 2014, knowing that this senator is a Republican?The table shows the political party affiliation ofeach of 67 members of the US Senate in June 2012, and when they are
The events “Republican” and “Up for reelection in 2016” are ________a. mutually exclusive.b. independent.c. both mutually exclusive and independent.d. neither mutually exclusive nor independent.The table shows the political party affiliation ofeach of 67 members of the US Senate in June
The events “Other” and “Up for reelection in November 2016” are ________a. mutually exclusive.b. independent.c. both mutually exclusive and independent.d. neither mutually exclusive nor independent.The table shows the political party affiliation ofeach of 67 members of the US Senate in June
Table 3.17 gives the number of suicides estimated in the U.S. for a recent year by age, race (black or white), and sex.We are interested in possible relationships between age, race, and sex. We will let suicide victims be our population.Do not include "all others" for parts f and g.a. Fill in the
Find P(hit was made by Babe Ruth).The table of data obtained from www.baseball-almanac.comshows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected. a. 1518 2873 2873 b. C. 12351 583 12351 d. 4189 12351
Find P(hit was made by Ty Cobb|The hit was a Home Run). a. 4189 12351 114 b. 1720 1720 C. 4189 d. 114 12351
Table 3.19 identifies a group of children by one of four hair colors, and by type of hair.a. Complete the table.b. What is the probability that a randomly selected child will have wavy hair?c. What is the probability that a randomly selected child will have either brown or blond hair?d. What is the
In a previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were publishedin the San Jose Mercury News. The factual data were compiled into the following table.For the following, suppose that you randomly select one player from the 49ers or Cowboys.a. Find the
Find P(tossing a Head on the coin AND a Red bead)This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup containing three red (R), four yellow (Y) and five blue (B) beads. For the coin, P (H) = 2/3 and P(T) = 1/3 where H is heads and T is tails. a. 2/3
Find P(Blue bead).This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup containing three red (R), four yellow (Y) and five blue (B) beads. For the coin, P (H) = 2/3 and P(T) = 1/3 where H is heads and T is tails. a. 15 36 b. C. d. 10 36 10 12 6 36
A box of cookies contains three chocolate and seven butter cookies. Miguel randomly selects a cookie and eats it.Then he randomly selects another cookie and eats it. (How many cookies did he take?)a. Draw the tree that represents the possibilities for the cookie selections. Write the probabilities
A previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published inthe San Jose Mercury News. The factual data are compiled into Table 3.21.For the following, suppose that you randomly select one player from the 49ers or Cowboys.If having a shirt number
The probability that a male develops some form of cancer in his lifetime is 0.4567. The probability that a male has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51. Some of the following questions do not have enough information
Given events G and H: P (G) = 0.43; P (H) = 0.26; P(H ∩ G) = 0.14a. Find P(H ∪ G).b. Find the probability of the complement of event (H ∩ G).c. Find the probability of the complement of event (H ∪ G).
Multiple studies are helping us understand the power of the mind on the body. One such study examines the effect of imagery on muscle strength. In the study, 29 healthy individuals underwent four weeks of wrist immobilization to induce weakness. Half of the participants were randomly assigned to
What is the IQR? What does the IQR represent?The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976–1977 through 2004–2005.• μ = 1000 FTES • median = 1,014 FTES • σ = 474 FTES • first quartile =

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