Problem 154E

Suppose that X has a Weibull distribution with β = 0.2 and δ = 100 hours. Determine the following:

Solution 154E

Step1 of 3:

Let us consider a random variable X it follows weibull distribution with parameters and

Here our goal is:

a). We need to find

b). We need to find

Step2 of 3:

a).

The is calculated by using the cumulative distribution of weibull distribution and it is given by:

Consider,

= 0.919

Therefore,

Step3 of 3:

b).

Consider,

= 0.1122

Therefore,