Question

The length of a telephone conversation in a booth has been an exponential distribution and
found
on an average to be 5 minutes. Find the probability that a random call made from this booth
ends less than 4 minutes​

Answer 1

Given : The length of a telephone conversation in a booth has been an exponential distribution and  found  on an average to be 5 minutes.

Step-by-step explanation:

Mean = 5  mins

=> λ  = 1/5

The cumulative distribution function is given by

=  1 -  $e^{- \lambda x }$

λ  = 1/5    x  = 4  minutes

=  1  - $e^{- \frac{4}{5} }$

= 1  - 0.449

= 0.551

0.551   is the Probability  that a random call made from this booth

ends less than 4 minutes​

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