Suppose that X has a Weibull distribution with ? = 2 and ?

Chapter 4, Problem 162E

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QUESTION:

Suppose that X has a Weibull distribution with \(\beta=2\) and \(\delta=8.6\). Determine the following:

(a) \(P(X<10)\)                         (b) \(P(X>9)\)                        (c) \(P(8<X<11)\)

(d) Value for x such that \(P(X>x)=0.9\)

Equation transcription:

Text transcription:

\beta=2

\delta=8.6

P(X<10)

P(X>9)

P(8<X<11)

P(X>x)=0.9

Questions & Answers

QUESTION:

Suppose that X has a Weibull distribution with \(\beta=2\) and \(\delta=8.6\). Determine the following:

(a) \(P(X<10)\)                         (b) \(P(X>9)\)                        (c) \(P(8<X<11)\)

(d) Value for x such that \(P(X>x)=0.9\)

Equation transcription:

Text transcription:

\beta=2

\delta=8.6

P(X<10)

P(X>9)

P(8<X<11)

P(X>x)=0.9

ANSWER:

Solution:

Step 1 of 5:  

     Let us suppose that X is a Weibull distribution with

        The cumulative distribution of the Weibull distribution is

                 


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