04 (Open this document in 'Outline' view!)

Download 312.8 Kb.

Page	3/5
Date	01.06.2018
Size	312.8 Kb.
	#52561

1 2 3 4 5

Exercise 6.26 (Not in 8^th edition): In a nuclear power plant seawater is used in cooling. The amount that the water temperature is raised has a continuous uniform distribution over the interval between 10 to 25 degrees Celsius.

a. What is the probability that the temperature increase will be less than 20° C?

b. What is the probability that the temperature increase will be between 10 and 22° C?

c. Suppose that a temperature increase of more than 18° C is considered potentially dangerous?

What is the probability that the temperature increase is potentially dangerous?

d. What is the expected value of the temperature increase?

e. What is the standard deviation of the temperature increase?
Exercise 6.57(Not in 8th edition): An airline has 3 different choices on its dessert menu. Each dessert is equally likely to be chosen.

a. If a random sample of 4 passengers is chosen, what is the probability that at least 2 will choose ice cream for dessert?

b. If a random sample of 21 passengers is chosen, what is the approximate probability that at least 2 will choose ice cream for dessert?
Exercise 6.60(Not in 8th edition): The number of cars arriving per minute at a toll booth is Poisson distributed with a mean of 2.5. What is the probability that in any given minute

a. No cars arrive.

b. Not more than 2 cars arrive?

c. What is the approximate probability that in a ten minute period not more than 20 cars arrive?

d. What is the approximate probability that in a ten minute period between 20 and 30 cars arrive?
Exercise 8.17(in 8^th edition only): In order to estimate dental expenses to plan for a proposed dental plan, a personnel department takes a random sample of dental expenses for the families of 10 employees over the previous year. (Dental data set on disk)

Expenses

110 362 246 85 510 208 173 425 316 179

a. Set up a 90% confidence interval estimate of mean family dental exposes for all employees.

b. What assumption must be made about the population distribution in a)?

c. Give an example of a family dental expense that is outside the confidence interval but that are not unusual for an individual family and explain why this is not a contradiction.

d. Repeat a) for a 95% interval.

e. What would the effect be in a) of changing the fourth value from $85 to $585?

Exercise 8.20(in 9^th edition only): In New York a random sample was taken of the time required in days to approve 27 Savings Bank Life Insurance policies. (Insurance data set on disk)

Time

73 19 16 64 28 28 31 90 60 56

31 56 22 18 45 48 17 17 17 91

92 63 50 51 69 16 17

a. Set up a 95% confidence interval estimate of mean processing time.

b. What assumption must be made about the population distribution in a)?

c. Do you think that the assumption made in b) has been seriously violated? Explain.

d. Compare the conclusions reached in a) with those of Problem 3.61 on page 126.
Downing and Clark, Old Computational Problem 1: For the sample data below b) Compute

and

. c) Compute the mean of

Download 312.8 Kb.

Share with your friends:

1 2 3 4 5