All Matches
Solution Library
Expert Answer
Textbooks
Search Textbook questions, tutors and Books
Oops, something went wrong!
Change your search query and then try again
Toggle navigation
FREE Trial
S
Books
FREE
Tutors
Study Help
Expert Questions
Accounting
General Management
Mathematics
Finance
Organizational Behaviour
Law
Physics
Operating System
Management Leadership
Sociology
Programming
Marketing
Database
Computer Network
Economics
Textbooks Solutions
Accounting
Managerial Accounting
Management Leadership
Cost Accounting
Statistics
Business Law
Corporate Finance
Finance
Economics
Auditing
Ask a Question
Search
Search
Sign In
Register
study help
mathematics
statistics
Questions and Answers of
Statistics
The next table shows the results from The American Freshman: National Norms Fall 2015 of a question posed to 141,000 college freshmen. Consider the experiment of selecting a student at random from
1. The following table shows the probability distributions of letter grades from a mathematics class. What is the probability that a randomly chosen student received a letter grade higher than F but
An experiment with outcomes s1, s2, s3, s4, s5, s6 has the following probability distribution: Outcome ______________ Probability s1 .................................. .05 s2
The table that follows was derived from a survey of college freshmen in 2015. Each probability is the likelihood that a randomly selected freshman applied to the specified number of colleges. For
The next table summarizes the age distribution for a company's employees. Each probability is the likelihood that a randomly selected employee is in the specified age group. (a) Convert this data
1. Which of the following probabilities are feasible for an experiment having sample space {s1, s2, s3}? Explain your answer. (a) Pr (s1) = .4, Pr (s2) = .4, Pr (s3) = .4 (b) Pr (s1) = .5, Pr (s2) =
1. Three cars, a Mazda, a Honda, and a Ford, are in a quarter-mile race. The probability that the Mazda will win the race is 2/3, and the probability that the Honda will win is 1/4. Assuming no ties
1. The probability that Alice beats Ben in a game of tennis is twice the probability that Ben beats Alice. Determine the two probabilities? 2. Suppose that a pair of dice is rolled. Find Pr (sum of
1. An experiment consists of tossing a coin five times and observing the sequence of heads and tails. Find Pr (an even number of heads occurs) + Pr (an odd number of heads occurs)? 2. Suppose that Pr
Consider the probabilities shown in the Venn diagram in Figure 3.Figure 3:1. Determine the probability that the event E occurs. 2. Determine the probability that exactly one of the events E or F
Use a Venn diagram similar to the one in Fig. 1 to solve the problem. 1. Suppose that Pr (E) = .6, Pr (F) = .5, and Pr (E ( F) = .4. Find (a) Pr (E ( F) (b) Pr (E ( F'). 2. Suppose that Pr (E) = .6,
1. Convert the odds of "10 to 1" to a probability. 2. Convert the odds of "4 to 5" to a probability. 3. Convert the probability .2 to odds. 4. Convert the probability 3/7 to odds?
1. The probability of getting three heads in five tosses of a coin is .3125. What are the odds of getting three heads? 2. The probability that a graduate of a Big Ten school will eventually earn a
1. Gamblers usually give odds against an event happening. For instance, if a bookie gives the odds 4 to 1 that the Yankees will win the next World Series, he is stating that the probability that the
Determine the probability distribution for the given experiment. 1. Toss an unbiased coin twice, and count the number of heads. 2. A box contains seven slips of paper: one with a letter A printed on
Can be answered without any computations. 1. A high school astrology club has 13 members. What is the probability that two or more members have the same zodiac sign? Note: There are 12 zodiac
1. The modern American roulette wheel has 38 slots, which are labeled with 36 numbers evenly divided between red and black, plus two green numbers 0 and 00. What is the probability that the ball will
A number is chosen at random from the whole numbers between 1 and 17, inclusive. (a) What is the probability that the number is odd? (b) What is the probability that the number is even? (c) What is
1. The U.S. Senate consists of two senators from each of the 50 states. Five senators are to be selected at random to form a committee. What is the probability that no two members of the committee
Refer to a classroom of children (12 boys and 10 girls) in which seven students are chosen to go to the blackboard. 1. What is the probability that no boys are chosen? 2. What is the probability that
1. Three people are chosen at random. What is the probability that at least two of them were born on the same day of the week? 2. Four people are chosen at random. What is the probability that at
1. Without consultation with each other, each of four organizations announces a one-day convention to be held during June. Find the probability that at least two organizations specify the same day
1. A number is chosen at random from the whole numbers between 1 and 100, inclusive. (a) What is the probability that the number ends in a zero? (b) What is the probability that the number is
1. What is the probability that, in a group of 25 people, at least one person has a birthday on June 13? Why is your answer different from the probability displayed in Table 1 for r = 25? 2. Johnny
1. A die is rolled twice. What is the probability that the two numbers are different? 2. A die is rolled three times. What is the probability of obtaining three different numbers? 3. A die is rolled
1. A coin is tossed 10 times. What is the probability of obtaining four heads and six tails? 2. A coin is tossed seven times. What is the probability of obtaining five heads and two tails? 3. A
Figure 1 shows a partial map of the streets in New York City. (Such maps are discussed in Chapter 5.) A tourist starts at point A and selects at random a shortest path to point B. That is, they walk
Repeat Exercise 33 for Fig. 2.Figure 1 shows a partial map of the streets in New York City. (Such maps are discussed in Chapter 5.) A tourist starts at point A and selects at random a shortest path
1. In the American League, the East, Central, and West divisions each consists of five teams. A sportswriter predicts the winner of each of the three divisions by choosing a team completely at random
1. Suppose that the sportswriter in Exercise 36 simply puts the 12 team names in a hat and draws 3 completely at random. Does this increase or decrease the writer's chance of picking at least one
1. An urn contains seven green balls and five white balls. A sample of three balls is selected at random from the urn. Find the probability that (a) Only green balls are selected. (b) At least one
A man, a woman, and their three children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each other?
What is the probability that a random arrangement of the letters in the word GEESE has all the E's adjacent to one another?
Full house (three cards of one rank and two cards of another rank) A poker hand consists of five cards drawn from a deck of 52 cards. Each card has one of 13 ranks (2, 3, 4, . . . , 10, jack, queen,
Three of a kind (three cards of one rank and two cards of distinct rank, both different from the rank of the triple) A poker hand consists of five cards drawn from a deck of 52 cards. Each card has
Two pairs (two cards of one rank, two cards of a different rank, and one card of a rank other than those two ranks) A poker hand consists of five cards drawn from a deck of 52 cards. Each card has
One pair (two cards of one rank and three cards of distinct ranks, where each of the three cards has a different rank from the rank of the pair) A poker hand consists of five cards drawn from a deck
1. A bridge hand consists of thirteen cards drawn from a deck of 52 cards. Each card has one of 13 ranks (2, 3, 4, . . . , 10, jack, queen, king, ace) and one of four suits (spades, hearts, diamonds,
1. What is the probability of winning the Illinois Lottery Lotto with a $1 bet? 2. In the game week ending June 18, 1983, a total of 2 million people bought $1 tickets, and 78 people matched all six
1. In the California Fantasy 5 lottery, a player pays $1 for a ticket and selects 5 numbers from the numbers 1 through 39. If they match exactly three of the five numbers drawn, they receive $15.
1. Suppose that a study produced the following results: Out of a group of 60 people who took Math Helper before their math exam, only 8 of them failed the exam. Out of a group of 60 people who took a
1. Table 3 shows the experiences of 200 people who took a medication designed to prevent a certain condition. Calculate the absolute and the relative risk reductionTabledue to taking the medication.
1. Suppose that 80 people must take a certain medication in order for one person to be helped. What is the absolute risk reduction of the intervention? 2. License Plate Game Johnny and Doyle are
An urn contains eight red balls and six white balls. A sample of three balls is selected at random from the urn. Find the probability that (a) The three balls have the same color. (b) The sample
Find the probability that at least two people in a group of size n = 5 select the same card when drawing from a 52-card deck with replacement. Determine the group size n for which the probability of
1. A political science class has 20 students, each of whom chooses a topic from a list for a term paper. How big a pool of topics is necessary for the probability of at least one duplicate to drop
1. A year on planet Ork has 100 days. Find the smallest number of Orkians for which the probability that at least two of them have the same birthday is 50% or more. 2. In many state lotteries, six
1. Two out of the seven members of a school board feel that all high school students should be required to take a course in coding. A pollster selects three members of the board at random and asks
The Venn diagram in Fig. 3 shows the probabilities for its four basic regions. Find(a) Pr (E)(b) Pr (F)(c) Pr (E | F)(d) Pr (F | E).Figure 3:
1. A coin is tossed three times. What is the probability that the outcome contains no heads, given that exactly one of the coins shows a tail? 2. Bag of Marbles A bag contains five red marbles and
1. Suppose a family has two children and the youngest is a girl. What is the probability that both children are girls? 2. Suppose a family has two children and at least one is a girl. What is the
1. Sixty percent of the teachers at a certain high school are female. Forty percent of the teachers are females with a master's degree. What is the probability that a randomly selected teacher has a
The Venn diagram in Fig. 4 shows the probabilities for its four basic regions. Find(a) Pr (E)(b) Pr (F)(c) Pr (E | F)(d) Pr (F | E).Figure 4
Table 2 shows the number of registered voting-age U.S. citizens (in millions) by gender and their reported participation in the 2014 congressional election. Find the probability that a voting-age
Table 3 shows the numbers (in thousands) of officers and enlisted persons on active military duty on December 31, 2015. Find the probability that a person in the military selected at random is(a) An
Table 4 shows the probable field of study for 1500 freshman males and 1000 freshman females. Find the probability that a freshman selected at random(a) Intends to major in business.(b) Is female.(c)
1. Each of three sealed opaque envelopes contains two bills. One envelope contains two $1 bills, another contains two $5 bills, and the third contains a $1 bill and a $5 bill. An envelope is selected
1. A coin is tossed five times. What is the probability that heads appears on every toss, given that heads appears on the first four tosses? 2. A coin is tossed twice. What is the probability that
1. According to exit polling for the 2016 Missouri Republican primary election, 48% of the primary voters were women. Nine percent of the women polled voted for John Kasich. What is the probability
Let S be a sample space and E and F be events associated with S. Suppose that Pr (E) = .5, Pr (F) = .4, and Pr (E ( F) = .1. Calculate (a) Pr (E | F) (b) Pr (F | E) (c) Pr (E | F') (d) Pr (E' | F')
1. Suppose that your team is behind by two points and you have the ball on your opponent's court with a few seconds left in the game. You can try a two-point shot (probability of success is .48) or a
Let E and F be events with P(E) = .4, Pr (F) = .5, and Pr (E ( F) = .7. Are E and F independent events?
Let E and F be events with P(E) = .2, Pr (F) = .5, and Pr (E ( F) = .6. Are E and F independent events?
1. Let E and F be independent events with P(E) = .5 and Pr (F) = .6. Find Pr (E ( F)? 2. Let E and F be independent events with P(E) = .25 and Pr (F) = .4. Find Pr (E ( F).
Assume that E and F are independent events. Use the given information to find Pr (F). 1. Pr (E) = .7 and Pr (F E) = .6. 2. Pr (E) = .4 and Pr (F' | E') = .3. 3. Pr (E') = .6. and Pr (E ( F) = .1. 4.
Let S be a sample space and E and F be events associated with S. Suppose that Pr (E) = .6, Pr (F) = .3, and Pr (E ( F) = .2. Calculate (a) Pr (E | F) (b) Pr (F | E') (c) Pr (E | F') (d) Pr (E' | F')
1. Let A, B, and C be independent events with Pr (A) = .4, Pr (B) = .1, and Pr (C) = .2. Calculate Pr [(A ( B ( C)']. 2. Let A, B, and C be independent events with Pr (A) = .2, Pr (A ( B) = .12, and
1. A sample of two balls is drawn from an urn containing two white balls and three red balls. Are the events "the sample contains at least one white ball" and "the sample contains balls of both
1. Roll a die, and consider the following two events: E = {2, 4, 6}, F = {3, 6}. Are the events E and F independent? 2. Roll a die, and consider the following two events: E = {2, 4, 6}, F = {3, 4,
1. A doctor studies the known cancer patients in a certain town. The probability that a randomly chosen resident has cancer is found to be .001. It is found that 30% of the town works for Ajax
Let S be a sample space and E and F be events associated with S. Suppose that Pr (E) = 1/3, Pr (F) = 5/12, and Pr (E ( F) = 2/3. Calculate (a) Pr (E ( F) (b) Pr (E | F) (c) Pr (F | E)
A medical screening program administers three independent tests. Of the persons taking the tests, 80% pass test I, 75% pass test II, and 60% pass test III. A participant is chosen at random. (a) What
1. A "true-false" exam has 10 questions. Assuming that the questions are independent and that a student is guessing, find the probability that they get 100%? 2. A TV set contains five circuit boards
1. The probability that a fisherman catches a tuna in any one excursion is .15. What is the probability that he catches a tuna on each of three excursions? On at least one of three excursions? 2. A
1. A basketball player makes each free-throw with a probability of .6 and is on the line for a one-and-one free throw. (That is, a second throw is allowed only if the first is successful.) Assume
Let S be a sample space and E and F be events associated with S. Suppose that Pr (E) = 1/2, Pr (F) = 1/3, and Pr (E ( F) = 7/12. Calculate (a) Pr (E ( F) (b) Pr (E | F) (c) Pr (F | E)
1. Free-Throws Consider Exercise 59, but let the probability of success be p, where 0 < p < 1. For what value of p will the probability of scoring 1 point be the same as the probability of scoring 2
1. Find that value of N for which the probability of winning in Exercise 58 at least once in N successive plays is about .5. 2. If you bet "even" in roulette, the probability of winning is 9/19. Find
Let S be a sample space and E and F be events associated with S. Suppose that Pr (E) = .4, Pr (F | E) = .25, and Pr (F) = .3. Calculate (a) Pr (E ( F) (b) Pr (E ( F) (c) Pr (E | F) (d) Pr (E' ( F)
Let S be a sample space and E and F be events associated with S. Suppose that Pr (E) = .5, Pr (F | E) = .4, and Pr (F) = .3. Calculate (a) Pr (E ( F) (b) Pr (E ( F) (c) Pr (E | F) (d) Pr (E ( F')
1. When a pair of dice is rolled, what is the probability that the sum of the dice is 8, given that the outcome is not 7? 2. When a pair of dice is rolled, what is the probability that the sum of the
Draw trees representing the sequence of experiments. 1. Experiment I is performed. Outcome a occurs with probability .4, and outcome b occurs with probability .6. Then experiment II is performed. Its
A card is drawn from a 52-card deck. We continue to draw until we have drawn a king or until we have drawn five cards, whichever comes first. Draw a tree diagram that illustrates the experiment. Put
An urn contains six white balls and two red balls. Balls are selected one at a time (without replacement) until a white ball is selected. Find the probability that the number of balls selected is (a)
1. Twenty percent of the library books in the fiction section are worn and need replacement. Ten percent of the nonfiction holdings are worn and need replacement. The library's holdings are 40%
1. Color blindness is a gender-linked inherited condition that is much more common among men than women. Suppose that 8% of all men and .5% of all women are color-blind. A person is chosen at random
1. A mouse is put into a T-maze (a maze shaped like a T). In this maze, it has the choice of turning to the left and being rewarded with cheese or going to the right and receiving a mild shock.
A bag is equally likely to contain either one white ball or one red ball. A white ball is added to the bag, and then a ball is selected at random from the bag. If the selected ball is white, what is
Kim has a strong first serve; whenever it is good (that is, in), she wins the point 75% of the time. Whenever her second serve is good, she wins the point 50% of the time. Sixty percent of her first
1. When a tennis player hits his first serve as hard as possible (called a blast), he gets the ball in (that is, within bounds) 60% of the time. When the blast first serve is in, he wins the point
1. Refer to Exercise 23. What is the probability that there will be an accidental nuclear war during the next n years? Refer to Exercise 23, Suppose that, during any year, the probability of an
1. Suppose that, instead of tossing a coin, the player in Exercise 25 draws up to five cards from a deck consisting only of three red and three black cards. The player wins as soon as the number of
1. Refer to Exercise 27. Suppose that a batch of 99 pea plants contains 33 plants of each of the three genotypes. Refer to Exercise 27, Traits passed from generation to generation are carried by
1. A light-bulb manufacturer knows that .05% of all bulbs manufactured are defective. A testing machine is 99% effective; that is, 99% of good bulbs will be declared fine and 99% of flawed bulbs will
1. An urn contains five red balls and three green balls. One ball is selected at random and then replaced by a ball of the other color. Then a second ball is selected at random. What is the
1. An urn contains four red marbles and three green marbles. One marble is removed, its color noted, and the marble is not replaced. A second marble is removed and its color noted. (a) What is the
Bud is a very consistent golfer. On par-three holes, he always scores a 4. Lou, on the other hand, is quite erratic. On par-three holes, Lou scores a 3 seventy percent of the time and scores a 6
1. Consider three dice: one red, one blue, and one green. The sides of the red die contain the numbers 3 3 3 3 3 6, the sides of the blue die contain the numbers 2 2 2 5 5 5, and the sides of the
Apply to medical diagnostic tests. 1. (True or False) Sensitivity also can be called the true positive rate. 2. (True or False) Specificity also can be called the true negative rate. 3. (True or
1. Suppose that a test for hepatitis has a sensitivity of 95% and a specificity of 90%. A person is selected at random from a large population, of which .05% of the people have hepatitis, and given
Showing 80500 - 80600
of 82267
First
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
Last