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Chapter 5: Q. 44 (page 350)

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
What has changed in the previous two problems that made the solutions different?

Short Answer

Expert verified

The solutions are different because xis restricted within particular values and value ofx changes.

Step by step solution

01

Concept

As per the data that has been provided there is a boundary on the interval ofx. Moreover, the change in the value of xis also possible.

02

Explanation

The solutions can be considered to be different because xhas the responsibility of calculating the probabilities of uniform distribution.

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Most popular questions from this chapter

Use the following information to answer the next seven exercises. A distribution is given asX~Exp(0.75). Find the median.

According to a study by Dr. John McDougall of his live-in weight loss program, the people who follow his program lose between six and 15 pounds a month until they approach trim body weight. Let鈥檚 suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. a. Define the random variable. X = _________ b. X ~ _________ c. Graph the probability distribution. d. f(x) = _________ e. 渭 = _________ f. 蟽 = _________ g. Find the probability that the individual lost more than ten pounds in a month. h. Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 12 pounds in the month. i. P(7 < x < 13|x > 9) = __________. State this in a probability question, similarly to parts g and h, draw the picture, and find the probability.

Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to eight minutes.

a. Define the random variable.X= ________________.

b. Is Xcontinuous or discrete?

c.X~ ________

d.渭= ________

e.蟽=________

f. Draw a graph of the probability distribution. Label the axes.

g. Find the probability that a phone call lasts less than nine minutes.

h. Find the probability that a phone call lasts more than nine minutes.

i. Find the probability that a phone call lasts between seven and nine minutes.

j. If 25phone calls are made one after another, on average, what would you expect the total to be? Why?

A distribution is given as X~U(0,20). What is P(2<x<18)? Find the90thpercentile.

What is the probability that a phone will fail within two years of the date of purchase?

a.0.8647

b. 0.4866

c. 0.2212

d. 0.9997
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