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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
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The telephone lines serving an airline reservation office

Chapter 3, Problem 96E

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QUESTION:

Problem 96E

The telephone lines serving an airline reservation office are all busy about 60% of the time.

a If you are calling this office, what is the probability that you will complete your call on the first try? The second try? The third try?

b If you and a friend must both complete calls to this office, what is the probability that a total of four tries will be necessary for both of you to get through?

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QUESTION:

Problem 96E

The telephone lines serving an airline reservation office are all busy about 60% of the time.

a If you are calling this office, what is the probability that you will complete your call on the first try? The second try? The third try?

b If you and a friend must both complete calls to this office, what is the probability that a total of four tries will be necessary for both of you to get through?

ANSWER:

Solution:

Step 1 of 3:

The telephone lines serving an airline reservation office are all busy about 60% of the time.

We have to find

  1. If you are calling this office, The probability that you will complete your call on the first try, second try and third try.
  2. If you and your friend must both complete calls to this office, The probability that a total of  four tries will be necessary for both of you to get through.

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