Question

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 $P(x>6)$.

Short answer

The answer of $P(x>6)$is 0.3012

Step-by-step solution

Theory of  random variables 

A random variable is considered as the numerical description of the final result that is expressed by a statistical experiment.

Here, $P(x<x)=(1-e^{-mx})$

$m=0.2$

Step 2:  Formula of random variables 

$$\begin{gathered} P(x<6)=1-P(x<6) \\ P(x>6)=0.3012 \\ P(x<6)=1-(1-e^{-0.2\times 6}) \end{gathered}$$