Suppose that X has a Weibull distribution with ? = 0.2 and

Chapter 4, Problem 154E

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QUESTION:

Suppose that X has a Weibull distribution with \(\beta=.02\) and \(\delta=100\) hours. Determine the following:

(a) \(P(X<10,000)\)                (b) \(P(X>5000)\)

Equation transcription:

Text transcription:

\beta=.02

\delta=100

P(X<10,000)

P(X>5000)

Questions & Answers

QUESTION:

Suppose that X has a Weibull distribution with \(\beta=.02\) and \(\delta=100\) hours. Determine the following:

(a) \(P(X<10,000)\)                (b) \(P(X>5000)\)

Equation transcription:

Text transcription:

\beta=.02

\delta=100

P(X<10,000)

P(X>5000)

ANSWER:

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,

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