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business statistics

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

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies.a. In words, define the random variable X.b.
In one of its Spring catalogs, L.L. Bean® advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked more than once.a. In words, define the random variable X.b. List the values
Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F be the event of rolling a four or a five. You are interested in how many times you need to roll the die in order to obtain the first four or five as the outcome.• p = probability of success (event
Ellen has music practice three days a week. She practices for all of the three days 85% of the time, two days 8% of the time, one day 4% of the time, and no days 3% of the time. One week is selected at random. What values does X take on?
The World Bank records the prevalence of HIV in countries around the world. According to their data, “Prevalence of HIV refers to the percentage of people ages 15 to 49 who are infected with HIV.”[1] In South Africa, the prevalence of HIV is 17.3%. Let X = the number of people you test until
According to a recent Pew Research poll, 75% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a person without a profile on a social networking site.a. Describe the distribution of X.b. Find the (i)
The switchboard in a Minneapolis law office gets an average of 5.5 incoming phone calls during the noon hour on Mondays. Experience shows that the existing staff can handle up to six calls in an hour. Let X = the number of calls received at noon.a. Find the mean and standard deviation of X.b. What
The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the busiest in the world with an average of 60 births per day. Let X = the number of births in an hour.a. Find the mean and standard deviation of X.b. Sketch a graph of the probability distribution of
A manufacturer of Christmas tree light bulbs knows that 3% of its bulbs are defective. Find the probability that a string of 100 lights contains at most four defective bulbs using both the binomial and Poisson distributions.
The average number of children a Japanese woman has in her lifetime is 1.37. Suppose that one Japanese woman is randomly chosen.a. In words, define the random variable X.b. List the values that X may take on.c. Find the probability that she has no children.d. Find the probability that she has fewer
The average number of children a Spanish woman has in her lifetime is 1.47. Suppose that one Spanish woman is randomly chosen.a. In words, define the Random Variable X.b. List the values that X may take on.c. Find the probability that she has no children.d. Find the probability that she has fewer
Fertile, female cats produce an average of three litters per year. Suppose that one fertile, female cat is randomly chosen.In one year, find the probability she produces:a. In words, define the random variable X.b. List the values that X may take on.c. Give the distribution of X. X ~ _______d. Find
The chance of having an extra fortune in a fortune cookie is about 3%. Given a bag of 144 fortune cookies, we are interested in the number of cookies with an extra fortune. Two distributions may be used to solve this problem, but only use one distribution to solve the problem.a. In words, define
According to the South Carolina Department of Mental Health web site, for every 200 U.S. women, the average number who suffer from anorexia is one. Out of a randomly chosen group of 600 U.S. women determine the following.a. In words, define the random variable X.b. List the values that X may take
The chance of an IRS audit for a tax return with over \($25,000\) in income is about 2% per year. Suppose that 100 people with tax returns over \($25,000\) are randomly picked. We are interested in the number of people audited in one year. Use a Poisson distribution to anwer the following
Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 60 seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of high school.a. In words, define the random variable
On average, Pierre, an amateur chef, drops three pieces of egg shell into every two cake batters he makes. Suppose that you buy one of his cakes.a. In words, define the random variable X.b. List the values that X may take on.c. On average, how many pieces of egg shell do you expect to be in the
In words, the random variable X = _________________a. the number of times Mrs. Plum’s cats wake her up each week.b. the number of times Mrs. Plum’s cats wake her up each hour.c. the number of times Mrs. Plum’s cats wake her up each night.d. the number of times Mrs. Plum’s cats wake her
Find the probability that her cats will wake her up no more than five times next week.a. 0.5000b. 0.9329c. 0.0378d. 0.0671
Fill in the blankX ~ N(1, 2)σ = _______
In a survey, 40 people were asked how many times they visited a store before making a major purchase. The results areshown in Table 2.34. Number of times in store Frequency 1 4 2 10 3 16 4 6 5 4 Table 2.34
In a survey, several people were asked how many years it has been since they purchased a mattress. The results are shown in Table 2.35. Years since last purchase Frequency 0 1 2 8 2 3 4 13 22 16 5 9 Table 2.35
Several children were asked how many TV shows they watch each day. The results of the survey are shown in Table 2.36. Number of TV Shows Frequency 0 1 12 18 2 36 3 7 4 2 Table 2.36
The students in Ms. Ramirez’s math class have birthdays in each of the four seasons. Table 2.37 shows the four seasons, the number of students who have birthdays in each season, and the percentage (%) of students in each group. Construct a bar graph showing the number of students. Seasons Number
Using the data from Mrs. Ramirez’s math class supplied in Exercise 2.4, construct a bar graph showing the percentages.Exercise 2.4,The students in Ms. Ramirez’s math class have birthdays in each of the four seasons. Table 2.37 shows the four seasons, the number of students who have birthdays in
David County has six high schools. Each school sent students to participate in a county-wide science competition. Table 2.38 shows the percentage breakdown of competitors from each school, and the percentage of the entire student population of the county that goes to each school. Construct a bar
Use the data from the David County science competition supplied in Exercise 2.6. Construct a bar graph that shows the county-wide population percentage of students at each school.Exercise 2.6.David County has six high schools. Each school sent students to participate in a county-wide science
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven
What does the frequency column in Table 2.39 sum to? Why? Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency Table 2.39
What does the relative frequency column in Table 2.39 sum to? Why? Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency Table 2.39
To construct the histogram for the data in Table 2.39, determine appropriate minimum and maximum x and y values and the scaling. Sketch the histogram. Label the horizontal and vertical axes with words. Include numerical scaling.
Construct a frequency polygon for the following: a. b. Pulse Rates for Women Frequency 60-69 12 70-79 14 80-89 11 90-99 1 100-109 1 110-119 0 120-129 1 Table 2.40 Actual Speed in a 30 MPH Zone Frequency 42-45 25 46-49 14 50-53 7 54-57 3 58-61 1 Table 2.41
Construct a frequency polygon from the frequency distribution for the 50 highest ranked countries for depth of hunger. Depth of Hunger Frequency 230-259 21 260-289 13. 290-319 5 320-349 7 350-379 1 380-409 1 410-439 1
Use the two frequency tables to compare the life expectancy of men and women from 20 randomly selected countries.Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers.What can we conclude about the life expectancy of women
Construct a times series graph for(a) the number of male births,(b) the number of female births, and(c) the total number of births. 1857 Male Total Sex/Year 1855 1856 1858 1859 1860 Female 45,545 49,582 50,257 50,324 51,915 51,220 52,403 47,804 52,239 53,158 53,694 54,628 54,409 54,606 93,349
The following data sets list full time police per 100,000 citizens along with homicides per 100,000 citizens for the city of Detroit, Michigan during the period from 1961 to 1973.a. Construct a double time series graph using a common x-axis for both sets of data.b. Which variable increased the
Listed are 29 ages for Academy Award winning best actors in order from smallest to largest.18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77a. Find the 40th percentile.b. Find the 78th percentile.
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest.18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77a. Find the percentile of 37.b. Find the percentile of 72.
Jesse was ranked 37th in his graduating class of 180 students. At what percentile is Jesse’s ranking?
a. For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race?b. The 20th percentile of run times in a particular race is 5.2 minutes.Write a sentence
a. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race?b. The 40th percentile of speeds in a particular race is 7.5 miles per hour. Write a sentence interpreting the 40th percentile in the context of the
On an exam, would it be more desirable to earn a grade with a high or low percentile? Explain.
Mina is waiting in line at the Department of Motor Vehicles (DMV). Her wait time of 32 minutes is the 85th percentile of wait times. Is that good or bad? Write a sentence interpreting the 85th percentile in the context of this situation.
In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the 78th percentile. Should Li be pleased or upset by this result? Explain.
In a study collecting data about the repair costs of damage to automobiles in a certain type of crash tests, a certain model of car had $1,700 in damage and was in the 90th percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that
The University of California has two criteria used to set admission standards for freshman to be admitted to a college in the UC system:a. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an"admissions index" score. The admissions index
Suppose that you are buying a house. You and your realtor have determined that the most expensive house you can afford is the 34th percentile. The 34th percentile of housing prices is $240,000 in the town you want to move to. In this town, can you afford 34% of the houses or 66% of the houses?Use
First quartile = _______
Second quartile = median = 50th percentile = _______
Third quartile = _______
Interquartile range (IQR) = _____ – _____ = _____
10th percentile = _______
70th percentile = _______
Find the mean for the following frequency tables. Frequency a. Grade 49.5-59.5 2 59.5-69.5 3 69.5-79.5 8 79.5-89.5 12 89.5-99.5 5 Table 2.51 b. Daily Low Temperature Frequency 49.5-59.5 53 59.5-69.5 32 69.5-79.5 15 79.5-89.5 1 89.5-99.5 0 Table 2.52
Calculate the mean.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29;30; 32; 33; 33; 34; 35; 37; 39; 40
Identify the median.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29;30; 32; 33; 33; 34; 35; 37; 39; 40
Identify the mode.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29;30; 32; 33; 33; 34; 35; 37; 39; 40
sample mean = X̅ = _______ Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars;nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars;
median = _______ Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars;nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven
mode = _______ Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars;nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally
A group of 10 children are on a scavenger hunt to find different color rocks. The results are shown in the Table 2.54 below. The column on the right shows the number of colors of rocks each child has. What is the mean number of rocks? Child Rock Colors 1 5 2 5 3 6 4 2 5 4 6 3 7 7 8 2 9 1 10 10
A group of children are measured to determine the average height of the group. The results are in Table 2.55 below.What is the mean height of the group to the nearest hundredth of an inch? Child Height in Inches Adam 45.21 Betty 39.45 Charlie 43.78 Donna 48.76 Earl 37.39 Fran 39.90 George 45.56
A person compares prices for five automobiles. The results are in Table 2.56. What is the mean price of the cars the person has considered? Price $20,987 $22,008 $19,998 $23,433 $21,444 Table 2.56
A customer protection service has obtained 8 bags of candy that are supposed to contain 16 ounces of candy each. The candy is weighed to determine if the average weight is at least the claimed 16 ounces. The results are in given in Table 2.57. What is the mean weight of a bag of candy in the
A teacher records grades for a class of 70, 72, 79, 81, 82, 82, 83, 90, and 95. What is the mean of these grades?
A family is polled to see the mean of the number of hours per day the television set is on. The results, starting with Sunday, are 6, 3, 2, 3, 1, 3, and 7 hours. What is the average number of hours the family had the television set on to the nearest whole number?
A city received the following rainfall for a recent year. What is the mean number of inches of rainfall the city received monthly, to the nearest hundredth of an inch? Use Table 2.58. Month Rainfall in Inches January 2.21 February 3.12 March 4.11 April 2.09 May 0.99 June 1.08 July 2.99 August 0.08
A football team scored the following points in its first 8 games of the new season. Starting at game 1 and in order the scores are 14, 14, 24, 21, 7, 0, 38, and 28. What is the mean number of points the team scored in these eight games?
What is the geometric mean of the data set given? 5, 10, 20
What is the geometric mean of the data set given? a. 9.000, b. 15.00, c. 21.00
What is the geometric mean of the data set given? 7.0, 10.0, 39.2
What is the geometric mean of the data set given? 17.00, 10.00, 19.00
What is the average rate of return for the values that follow? 1.0, 2.0, 1.5
In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Write the symbols for the probabilities of the events for parts a through j. (Note that you cannot find numerical answers here. You were not given enough information to
Find P(H).box is filled with several party favors. It contains 12hats, 15 noisemakers, ten finger traps, and five bags of confetti.Let H = the event of getting a hat.Let N = the event of getting a noisemaker.Let F = the event of getting a finger trap.Let C = the event of getting a bag of confetti.
Find P(N).box is filled with several party favors. It contains 12hats, 15 noisemakers, ten finger traps, and five bags of confetti.Let H = the event of getting a hat.Let N = the event of getting a noisemaker.Let F = the event of getting a finger trap.Let C = the event of getting a bag of confetti.
Find P(F).box is filled with several party favors. It contains 12hats, 15 noisemakers, ten finger traps, and five bags of confetti.Let H = the event of getting a hat.Let N = the event of getting a noisemaker.Let F = the event of getting a finger trap.Let C = the event of getting a bag of confetti.
Find P(C).box is filled with several party favors. It contains 12hats, 15 noisemakers, ten finger traps, and five bags of confetti.Let H = the event of getting a hat.Let N = the event of getting a noisemaker.Let F = the event of getting a finger trap.Let C = the event of getting a bag of confetti.
Find P(B).jar of 150 jelly beans contains 22 red jelly beans, 38yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting
Find P(G).jar of 150 jelly beans contains 22 red jelly beans, 38yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting
Find P(P).jar of 150 jelly beans contains 22 red jelly beans, 38yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting
Find P(R).jar of 150 jelly beans contains 22 red jelly beans, 38yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting
Find P(Y).jar of 150 jelly beans contains 22 red jelly beans, 38yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting
Find P(O).jar of 150 jelly beans contains 22 red jelly beans, 38yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting
Find P(A).There are 23 countries in North America, 12 countries inSouth America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Oceanregion).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event
Find P(E).There are 23 countries in North America, 12 countries inSouth America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Oceanregion).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event
Find P(F).There are 23 countries in North America, 12 countries inSouth America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Oceanregion).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event
Find P(N).There are 23 countries in North America, 12 countries inSouth America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Oceanregion).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event
Find P(O).There are 23 countries in North America, 12 countries inSouth America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Oceanregion).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event
Find P(S).There are 23 countries in North America, 12 countries inSouth America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Oceanregion).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event
What is the probability of drawing a red card in a standard deck of 52 cards?
What is the probability of drawing a club in a standard deck of 52 cards?
What is the probability of rolling an even number of dots with a fair, six-sided die numbered one through six?
What is the probability of rolling a prime number of dots with a fair, six-sided die numbered one through six?
If you land on Y, you get the biggest prize. Find P(Y).You see a game at a local fair. You have to throw a dart at acolor wheel. Each section on the color wheel is equal in area.Let B = the event of landing on blue.Let R = the event of landing on red.Let G = the event of landing on green.Let Y =
If you land on red, you don’t get a prize. What is P(R)?You see a game at a local fair. You have to throw a dart at acolor wheel. Each section on the color wheel is equal in area.Let B = the event of landing on blue.Let R = the event of landing on red.Let G = the event of landing on green.Let Y =
Write the symbols for the probability that a player is not 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 player is an
Write the symbols for the probability that a player is an outfielder or 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 and 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 a great hitter, given that the 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

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