It is said that a random variable has the Weibull distribution with parameters a and b (a 0 and b 0) if X has a continuous distribution for which the p d f f (x a, b) is as follows Show that if X has this Weibull distribution, then the random variable Xb has the exponential distribution with parameter ab f(xla, b)ab for x 0

Question: It is said that a random variable has the Weibull distribution with parameters a and b (a > 0 and b > 0) if X

It is said that a random variable has the Weibull with parameters a and b (a > 0 and b > 0) if X has a continuous for which the p.d.f. f (x|a, b) is as follows:

Show that if X has this Weibull distribution, then the random variable Xb has the exponential distribution with parameter Î² = aˆ’b.

f(xla, b)ab for x 0.

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