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Problem

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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.

First the probability of people being more than years of age is calculated as follows:

 

Then, the expected number of people who will NOT have retired yet is calculated as follows:

The number of people expected NOT to have retired yet is given as follows:

 

Therefore, the number of people expected NOT to have retired yet are .

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