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Problem

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Textbook Expert
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16 Nov 2021

Given information

The time (in years) after reaching age  that it takes an individual to retire is approximately exponentially distributed with a mean of about five years. Suppose we randomly pick one retired individual. We are interested in the time after age  to retirement.

Step-by-step explanation

Step 1.

The required probability comparison can be done in two steps:

First, the probability that people retire before the age of years is as follows: 

 

Secondly, the probability that people retire after the age of years that is after  years,

 

Therefore, the value of probability for before years is higher than the other ones retiring after years.

Hence, there is more number of people who retire before  years.

 

 

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