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Problem

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Textbook ExpertVerified Tutor
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.

As found in the previous problem, the random variable is given by,

where the decay parameter .

Since the distribution is exponential, therefore the distribution function is given by,

 

The value of will be maximum, when i.e. on axis.

 

Therefore, the graph is given as follows:

with axes labeled.

 

 

 

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