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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
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A rental agency, which leases heavy equipment by the day,

Chapter 3, Problem 10E

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QUESTION:

A rental agency, which leases heavy equipment by the day, has found that one expensive piece of equipment is leased, on the average, only one day in five. If rental on one day is independent of rental on any other day, find the probability distribution of Y , the number of days between a pair of rentals.

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QUESTION:

A rental agency, which leases heavy equipment by the day, has found that one expensive piece of equipment is leased, on the average, only one day in five. If rental on one day is independent of rental on any other day, find the probability distribution of Y , the number of days between a pair of rentals.

ANSWER:

Answer:

Step 1 of 1:

A rental agency, which rents heavy equipment by the day, has found that one piece of equipment is rented, on the average, only one day in five.

A rental on one day is independent of rental on any other day.

We need to find the probability distribution of , where is number of days between a pair of rentals.

Let  be the event of rental occurs on a given day, and  denotes no rental.

The sample space  for leasing the equipment experiment contains the countably infinite set of sample points:

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