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Chapter 5: Q. 53 (page 351)

A customer service representative must spend different

amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be

modelled by the following distribution:X~Exp(0.2)

Find P(2<x<10).

Short Answer

Expert verified

The answer ofP(2<x<10)=0.5350

Step by step solution

01

Function of exponential distribution

As per the Function, P(x<x)=1-e-mx

Wherex~Exp(0.2)

Therefore,m=0.2

02

Step 2. Formula of exponential  

P(2 < x < 10)= P(x < 10) - P(x<2)

Applying all data

P(2 < x < 10 =(1-e0.2脳10)-(1-e0.2脳2)

=0.6703-0.1353=0.5350

The answer of role="math" localid="1648208427638" P(2<x<10)=0.5350

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