Exercise 8.5 (Statistical Inference) A random sample of 20 marbles is drawn from a large box containing only blue and re

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Exercise 8 5 Statistical Inference A Random Sample Of 20 Marbles Is Drawn From A Large Box Containing Only Blue And Re 1 (138.4 KiB) Viewed 12 times

Exercise 8.5 (Statistical Inference) A random sample of 20 marbles is drawn from a large box containing only blue and red marbles. (You may assume that 20 is a very small percentage of the total number of marbles in the box.) There are 18 blue marbles among the 20 selected. Is it reasonable to assert that the number of blue marbles is equal to the number of red marbles in the box? Explain. Exercise 8.6 A drug has an 85% cure rate. A random sample of 15 patients are given the drug. a. Find the probability that at least 13 are cured. b. Find the expected value and standard deviation (rounded to 2 decimal places) of the distribution of cured patients in a random sample of 15 patients. Exercise 8.7 A study shows that about 35% of college students in the US live at home. A random sample of 15 college students in the US is drawn. a. What is the probability that more than 8 of the students in the sample live at home? b. Find the expected value and standard deviation (rounded to two decimal places) of the number of students in the sample who live at home. Exercise 8.8 A survey showed that about 35% of adults pretend not to be home on Halloween. Suppose that a random sample of 20 adults is drawn. a. What is the probability that no more than 5 pretend not to be home on Halloween? b. Find the expected value and standard deviation. Exercise 8.9 According to one study, 15% of workers call in sick on their birthdays. A random sample of 11 workers is selected. a. What is the probability that at most 2 of the workers in the sample call in sick on their birthdays? b. Find the expected value and standard deviation (rounded to 2 decimal places). Exercise 8.10 Forty percent of workers obtain their insurance through their employer. Suppose that a random sample of 10 workers is selected. a. Find the probability that at least 8 of the workers get their insurance through their employer. b. Calculate the expected value and standard deviation. Exercise 8.11 A large lot of fuses contains 5% defectives. A random sample of 7 fuses is chosen from the lot. a. Find the probability that fewer than 3 fuses are defective. b. Find the expected value and standard deviation (rounded to 2 decimal places). 71