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A random variable X has a Weibull distribution if and

A random variable X has a Weibull distribution if and only if its probability density is given by

Where α > 0 and β > 0.

(a) Express k in terms of α and β.

(b) Show that

Weibull distributions with β = 1 are exponential distributions.

Where α > 0 and β > 0.

(a) Express k in terms of α and β.

(b) Show that

Weibull distributions with β = 1 are exponential distributions.

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