Refer to Exercise 4.186.a What is the usual name of the

Chapter 4, Problem 188SE

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QUESTION:

Refer to Exercise 4.186.

a What is the usual name of the distribution of a random variable that has a Weibull distribution with \(m=1\)?

b Derive, in terms of the parameters α and m, the mean and variance of a Weibull distributed random variable.

Equation Transcription:

Text Transcription:

m=1

Questions & Answers

QUESTION:

Refer to Exercise 4.186.

a What is the usual name of the distribution of a random variable that has a Weibull distribution with \(m=1\)?

b Derive, in terms of the parameters α and m, the mean and variance of a Weibull distributed random variable.

Equation Transcription:

Text Transcription:

m=1

ANSWER:

Solution:

Step 1 of 3:

The random variable Y, with a density function given by

                                  f(y) =    , , m>0

is said to have a weibull distribution.

We have to find

  1. The distribution of a random variable that has a Weibull distribution with m= 1.
  2. The mean and variance of a Weibull distributed random variable in terms of parameters and m.


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