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Chapter 5: Question 79 (page 354)

Use the following information to answer the next three exercises.

The Sky Train from the terminal to the rental鈥揷ar and long鈥搕erm parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.

79. What is the average waiting time (in minutes)?

a. zero

b. two

c. three

d. four

Short Answer

Expert verified

The average waiting time is (d)4minutes

Step by step solution

01

Defining Mean of uniform distribution.

Uniform distribution is a probability distribution that asserts that the outcomes for a discrete set of data have the same probability.

The Mean of the uniform distribution U(a,b):渭=(a+b)2.

02

Finding average waiting time

According to provided information, the random variable Xfor arrival of sky train is following uniform distribution such that:

X~U(0,8) wherea=0,b=8

And, it is known that mean of uniform distribution is:

渭=a+b2

So, average waiting time in minutes will be:

role="math" localid="1648185825397" 渭=0+82=82=4

Therefore, it can be said that option (d) is correct

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