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12th Edition

Ronald J. Harshbarger + 1 other

Publisher: Cengage Learning

ISBN: 9781337625340

Chapter 8, Problem 9T

Textbook Problem

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The random variable *x* has a normal distribution with mean 22 and standard deviation 8. Find B so that

To determine

**To calculate:** The value of B for a normal probability distribution

**Given Information:**

The mean of the discrete distribution is 22, the standard deviation is 8 and *x* is normally distributed.

**Formula used:**

The *z* score for a normally distribution of *x* is,

Where,

**Calculation:**

Consider the normal distribution,

The mean of the distribution is 22,

The standard deviation of the distribution is 8,

Since, the normal distribution is symmetric about mean 0.5.

In the appendix C of the book, the value of

From the interpolation method to find the value of

Mathematical Applications for the Management, Life, and Social Sciences

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Ch. 8.1 - Determine whether the following experiments...Ch. 8.1 - Determine whether the following experiments...Ch. 8.1 - Determine whether the following experiments...Ch. 8.1 - 4. A bag contains five red balls and three white...Ch. 8.1 - 1. Suppose a fair die is rolled 18 times.
(a) What...Ch. 8.1 - 2. Suppose a fair coin is tossed 12 times.
(a)...Ch. 8.1 - 3. If the probability of success on each of 6...Ch. 8.1 - 4. If the probability of success on each of 8...Ch. 8.1 - 5. Suppose a fair coin is tossed 6 times. What is...Ch. 8.1 - 6. If a fair die is rolled 3 times, what is the...

Ch. 8.1 - 7. A fair die is rolled 12 times. What is the...Ch. 8.1 - 8. When a pair of dice is rolled, a sum of 5...Ch. 8.1 - In Problems 9 and 10, five balls are drawn with...Ch. 8.1 - In Problems 9 and 10, five balls are drawn with...Ch. 8.1 - 11. Suppose a pair of dice is thrown 4 times. What...Ch. 8.1 - 12. If a pair of dice is thrown 4 times, find the...Ch. 8.1 - 13. Suppose the probability that a marksman will...Ch. 8.1 - 14. The probability that a sharpshooter will hit a...Ch. 8.1 - 15. Genetics A family has 4 children. If the...Ch. 8.1 - 16. Testing A multiple-choice test has 10...Ch. 8.1 - 17. Management The manager of a store buys marine...Ch. 8.1 - 18. Quality control A hospital buys blood pressure...Ch. 8.1 - 19. Safety devices A fire detection device uses 4...Ch. 8.1 - 20. Genetics The probability that a certain couple...Ch. 8.1 - 21. Health care Suppose that of the patients who...Ch. 8.1 - 22. Employee benefits In a certain school...Ch. 8.1 - 23. Genetics If the ratio of boys born to girls...Ch. 8.1 - 24. Biology It has been determined empirically...Ch. 8.1 - 25. Insurance If records indicate that 4 houses...Ch. 8.1 - 26. Psychology Suppose 4 rats are placed in a...Ch. 8.1 - 27. Sports A baseball player has a lifetime...Ch. 8.1 - 28. Quality control If the probability of an...Ch. 8.1 - 29. Quality control A company produces shotgun...Ch. 8.1 - 30. Quality control A baseball pitching machine...Ch. 8.1 - 31. Testing A quiz consists of 10 multiple-choice...Ch. 8.1 - 32. Demographics In a certain community, 10% of...Ch. 8.1 - 33. Suicide rates Suppose the probability of...Ch. 8.2 - Consider the data 10, 12, 12, 8, 30, 12, 8, 10, 5,...Ch. 8.2 - Consider the data 10, 12, 12, 8, 30, 12, 8, 10, 5,...Ch. 8.2 - Consider the data 10, 12, 12, 8, 30, 12, 8, 10, 5,...Ch. 8.2 - 4. Find the standard deviation of the data:
10,...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Construct frequency histograms for the data given...Ch. 8.2 - Find the modes of the sets of scores in Problems...Ch. 8.2 - Find the modes of the sets of scores in Problems...Ch. 8.2 - Find the modes of the sets of scores in Problems...Ch. 8.2 - Find the modes of the sets of scores in Problems...Ch. 8.2 - Find the medians of the sets of scores in Problems...Ch. 8.2 - Find the medians of the sets of scores in Problems...Ch. 8.2 - Find the medians of the sets of scores in Problems...Ch. 8.2 - Find the medians of the sets of scores in Problems...Ch. 8.2 - Find the modes, medians, and means of the scores...Ch. 8.2 - Find the modes, medians, and means of the scores...Ch. 8.2 - Find the modes, medians, and means of the scores...Ch. 8.2 - Find the modes, medians, and means of the scores...Ch. 8.2 - Find the modes, medians, and means of the scores...Ch. 8.2 - Find the modes, medians, and means of the scores...Ch. 8.2 - 23. Use class marks to find the mean, mode, and...Ch. 8.2 - 24. Use class marks to find the mean, mode, and...Ch. 8.2 - In Problems 25-28, find the range of the set of...Ch. 8.2 - In Problems 25-28, find the range of the set of...Ch. 8.2 - In Problems 25-28, find the range of the set of...Ch. 8.2 - In Problems 25-28, find the range of the set of...Ch. 8.2 - Find the mean, variance, and standard deviation of...Ch. 8.2 - Find the mean, variance, and standard deviation of...Ch. 8.2 - Find the mean, variance, and standard deviation of...Ch. 8.2 - Find the mean, variance, and standard deviation of...Ch. 8.2 - In Problems 33-36, find the mean and standard...Ch. 8.2 - In Problems 33-36, find the mean and standard...Ch. 8.2 - In Problems 33-36, find the mean and standard...Ch. 8.2 - In Problems 33-36, find the mean and standard...Ch. 8.2 - Assume all data are sample data.
37. Centenarians...Ch. 8.2 - Assume all data are sample data.
38. Youth...Ch. 8.2 - Assume all data are sample data.
39. Cell phones...Ch. 8.2 - Assume all data are sample data.
40. Product...Ch. 8.2 - Assume all data are sample data.
41. Real estate...Ch. 8.2 - Assume all data are sample data.
42. Birth weights...Ch. 8.2 - Assume all data are sample data.
43. Renewable...Ch. 8.2 - Assume all data are sample data.
44. Malpractice...Ch. 8.2 - Assume all data are sample data.
45. Aged...Ch. 8.2 - Assume all data are sample data.
46. Beet sugar...Ch. 8.2 - Assume all data are sample data.
47. Disposable...Ch. 8.2 - Assume all data are sample data.
48. Salaries S &...Ch. 8.2 - Assume all data are sample data.
49. Salaries...Ch. 8.2 - Assume all data are sample data.
50. Sales A new...Ch. 8.2 - Assume all data are sample data.
51. Insurance...Ch. 8.2 - Assume all data are sample data.
52. Youth...Ch. 8.2 - Assume all data are sample data.
53. Public...Ch. 8.2 - Assume all data are sample data.
54. Private...Ch. 8.3 - 1. Consider a game in which you roll a the and...Ch. 8.3 - 2. An experiment has the following possible...Ch. 8.3 - 3. Show that the values of x and the associated...Ch. 8.3 - 4. A fair cube is colored so that 4 faces are...Ch. 8.3 - Determine whether each table in Problems 1-4...Ch. 8.3 - Determine whether each table in Problems 1-4...Ch. 8.3 - Determine whether each table in Problems 1-4...Ch. 8.3 - Determine whether each table in Problems 1-4...Ch. 8.3 - Determine whether each formula in Problems 5-8...Ch. 8.3 - Determine whether each formula in Problems 5-8...Ch. 8.3 - Determine whether each formula in Problems 5-8...Ch. 8.3 - Determine whether each formula in Problems 5-8...Ch. 8.3 - Each of the tables in Problems 9-12 defines a...Ch. 8.3 - Each of the tables in Problems 9-12 defines a...Ch. 8.3 - Each of the tables in Problems 9-12 defines a...Ch. 8.3 - Each of the tables in Problems 9-12 defines a...Ch. 8.3 - In Problems 13-16, find the mean, variance, and...Ch. 8.3 - In Problems 13-16, find the mean, variance, and...Ch. 8.3 - In Problems 13-16, find the mean, variance, and...Ch. 8.3 - In Problems 13-16, find the mean, variance, and...Ch. 8.3 - 17. Suppose an experiment has six possible...Ch. 8.3 - 18. Suppose an experiment has six possible...Ch. 8.3 - 19. Five slips of paper containing the numbers 0,...Ch. 8.3 - 20. An experiment consists of rolling a the once....Ch. 8.3 - 21. A die is rolled 3 times, and success is...Ch. 8.3 - 22. A die is rolled 3 times. Success is rolling a...Ch. 8.3 - 23. A variable x has a binomial distribution with...Ch. 8.3 - 24. A variable x has a binomial distribution with...Ch. 8.3 - 25. A coin is “loaded” so that the probability of...Ch. 8.3 - 26. Suppose a pair of dice is thrown 1200 times....Ch. 8.3 - 27. Suppose a pair of dice is thrown 900 times....Ch. 8.3 - 28. Suppose a the is “loaded” so that the...Ch. 8.3 - 29. Expand .
Ch. 8.3 - 30. Expand
Ch. 8.3 - 31. Expand .
Ch. 8.3 - 32. Write the general expression for.
Ch. 8.3 - 33. Animal relocation In studying endangered...Ch. 8.3 - 34. Lottery scandal The Pennsylvania Daily Number...Ch. 8.3 - 35. Campaigning A candidate must decide whether he...Ch. 8.3 - 36. Genetics If the probability that a newborn...Ch. 8.3 - 37. Raffle A nonprofit organization sells chances...Ch. 8.3 - 38. Lottery A charity sells raffle tickets for $1...Ch. 8.3 - 39. Gambling Suppose a student is offered a chance...Ch. 8.3 - 40. Revenue The Rent-to-Own Company estimates that...Ch. 8.3 - 41. Sales A young man plans to sell umbrellas at...Ch. 8.3 - 42. Advertising A candidate must decide whether he...Ch. 8.3 - 43. Insurance A car owner must decide whether she...Ch. 8.3 - 44. Altimeters Suppose a company manufactures...Ch. 8.3 - 45. Machining A machinist makes pipes with an...Ch. 8.3 - 46. Budgeting Suppose a youth has a part-time job...Ch. 8.3 - 47. Health care Suppose that 10% of the patients...Ch. 8.3 - 48. Cancer research Suppose it has been determined...Ch. 8.3 - 49. Voting A candidate claims that 60% of the...Ch. 8.3 - 50. Genetics In a family with 2 children, the...Ch. 8.3 - 51. Testing A multiple-choice test has 20...Ch. 8.3 - 52. Birth control Suppose a birth control pill is...Ch. 8.3 - 53. Quality control A certain calculator circuit...Ch. 8.3 - 54. CPA exam Forty-eight percent of accountants...Ch. 8.3 - 55. Seed germination A certain type of corn seed...Ch. 8.3 - 56. Quality control The probability that a...Ch. 8.3 - 57. Oil drilling Suppose that when an oil company...Ch. 8.3 - 58. Warranties A home improvement warehouse, HIW,...Ch. 8.4 - 1. The mean of a normal distribution is 25, and...Ch. 8.4 - 2. For the standard normal distribution, find the...Ch. 8.4 - 3. For the normal distribution with mean 70 and...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Find the probability that a z-score from the...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - 27. Find the number A that satisfies for the...Ch. 8.4 - 28. Find the number A that satisfies for the...Ch. 8.4 - 29. The random variable x has a normal...Ch. 8.4 - 30. The random variable x has a normal...Ch. 8.4 - 31. Growth The Fish Commission states that the...Ch. 8.4 - 32. Butterfat A quart of Parker's milk contains a...Ch. 8.4 - 33. Growth The heights of a certain species of...Ch. 8.4 - 34. Mating calls The durations of the mating calls...Ch. 8.4 - 35. Growth The mean weight of a group of boys is...Ch. 8.4 - 36. Testing The Scholastic Aptitude Test (SAT)...Ch. 8.4 - 37. Mileage A certain model of automobile has its...Ch. 8.4 - 38.Quality control A machine precision-cuts tubing...Ch. 8.4 - 39. Blood pressure Systolic blood pressure for a...Ch. 8.4 - 40. Industrial waste In a certain state, the daily...Ch. 8.4 - 41. Reaction time Reaction time is normally...Ch. 8.4 - 42. Inventory Suppose that the electrical supplies...Ch. 8.4 - 43. Test results At a major university, exam...Ch. 8.4 - 44. Budgeting The amount spent monthly, x, for...Ch. 8.4 - 45. Quality control The milk machine at a large...Ch. 8.4 - 46. Manufacturing A textile manufacturer produces...Ch. 8.4 - 47. College standards At a certain college, CPAs...Ch. 8.5 - 1. Which of the following binomial probability...Ch. 8.5 - 2. Suppose a binomial probability experiment has p...Ch. 8.5 - In Problems 1-4, indicate which of the binomial...Ch. 8.5 - In Problems 1-4, indicate which of the binomial...Ch. 8.5 - In Problems 1-4, indicate which of the binomial...Ch. 8.5 - In Problems 1-4, indicate which of the binomial...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8.5 - In the following problems, use a normal...Ch. 8 - 1. If the probability of success on each trial of...Ch. 8 - A bag contains 5 black balls and 7 white balls. If...Ch. 8 - 3. If a die is rolled 4 times, what is the...Ch. 8 - Use the data in the frequency table in Problems...Ch. 8 - Use the data in the frequency table in Problems...Ch. 8 - Use the data in the frequency table in Problems...Ch. 8 - Use the data in the frequency table in Problems...Ch. 8 - 8. Construct a frequency histogram for the...Ch. 8 - 9. What is the median of the scores in Problem...Ch. 8 - 10. What is the mean of the scores in Problem 8?
Ch. 8 - 11. What is the mean of the scores in Problem 8?
Ch. 8 - 12. Find the mean, variance, and standard...Ch. 8 - 13. Find the mean, variance, and standard...Ch. 8 - 14. For the following probability distribution,...Ch. 8 - Determine whether each function or table in...Ch. 8 - Determine whether each function or table in...Ch. 8 - Determine whether each function or table in...Ch. 8 - Determine whether each function or table in...Ch. 8 - 19. For the probability distribution shown, find...Ch. 8 - 20. For the discrete probability distribution...Ch. 8 - 21. For the probability distribution shown, find...Ch. 8 - 22. A coin has been altered so that the...Ch. 8 - 23. Suppose a pair of dice is thrown 18 times. How...Ch. 8 - 24. Expand .
Ch. 8 - 25. What is the area under the standard normal...Ch. 8 - 26. If z is a standard normal score, find .
Ch. 8 - 27. Find Pr .
Ch. 8 - 28. If a variable x is normally distributed, with ...Ch. 8 - 29. If a variable x is normally distributed, with ...Ch. 8 - 30. If a variable x is normally distributed, with ...Ch. 8 - 31. Find the number A so that for the standard...Ch. 8 - For the binomial distributions in Problems 32 and...Ch. 8 - For the binomial distributions in Problems 32 and...Ch. 8 - For the binomial experiments in Problems 34-37,...Ch. 8 - For the binomial experiments in Problems 34-37,...Ch. 8 - For the binomial experiments in Problems 34-37,...Ch. 8 - For the binomial experiments in Problems 34-37,...Ch. 8 - 38. Genetics Suppose the probability that a...Ch. 8 - 39. Sampling Suppose of a population opposes a...Ch. 8 - 40. Crime Suppose of the population are victims...Ch. 8 - 41. Disease One person in 100,000 develops a...Ch. 8 - Farm families The distribution of farm families...Ch. 8 - Farm families The distribution of farm families...Ch. 8 - Fanti families The distribution of farm families...Ch. 8 - 45. Cancer testing The probability that a man with...Ch. 8 - 46. Fraud A company selling substandard drugs to...Ch. 8 - 47. Racing Suppose you paid $2 for a bet on a...Ch. 8 - 48. Lotteries A state lottery pays $500 to anyone...Ch. 8 - 49. Crime Refer to Problem 40.
(a) What is the...Ch. 8 - 50. Testing Suppose the mean SAT score for...Ch. 8 - 51. Net worth Suppose the mean net worth of the...Ch. 8 - 52. Testing The length of time it takes to...Ch. 8 - In Problems 53-56, use a normal approximation.
53....Ch. 8 - In Problems 53-56, use a normal approximation.
54....Ch. 8 - In Problems 53-56, use a normal approximation.
55....Ch. 8 - In Problems 53-56, use a normal approximation.
56....Ch. 8 - 1. If a coin is “loaded” so that the probability...Ch. 8 - 2. Suppose the coin in Problem 1 is tossed 12...Ch. 8 - 3. If x is a random variable, what properties must...Ch. 8 - 4. Find the expected value of the variable x for...Ch. 8 - 5. For the probability distribution shown, find...Ch. 8 - 6. For the sample data in the table, find the...Ch. 8 - 7. If the variable x is normally distributed, with...Ch. 8 - 8. For the normal distribution with mean 70 and...Ch. 8 - 9. The random variable x has a normal distribution...Ch. 8 - 10. Use a normal approximation to a binomial...Ch. 8 - 11. Use a normal approximation to a binomial...Ch. 8 - The table gives the ages of a sample of...Ch. 8 - The table gives the ages of a sample of...Ch. 8 - 14. The table gives the projected 2020 population...Ch. 8 - 15. The table summarizes the number of mobile...Ch. 8 - 16. Suppose that 2% of the computer chips shipped...Ch. 8 - The table gives the percent of women who become...Ch. 8 - The table gives the percent of women who become...Ch. 8 - The table gives the percent of women who become...Ch. 8 - 20. A new light bulb has an expected life of...Ch. 8 - 21. Hargray Communications offered a bundled...Ch. 8 - 22. A juice manufacturer sells several kinds of...Ch. 8 - One of the reasons the Powerball Lottery (offered...Ch. 8 - I. Lotteries
One of the reasons the Powerball...

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