A random variable X has a Weibull distribution if and only if its probability density is given by Where Icirc plusmn 0 and Icirc sup2 0 (a) Express k in terms of Icirc plusmn and Icirc sup2 (b) Show that Weibull distributions with Icirc sup2 1 are exponential distributions kxe forx 0 f(x) ...

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

Question:

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

Where Î± > 0 and Î² > 0.
(a) Express k in terms of Î± and Î².
(b) Show that

Weibull distributions with Î² = 1 are exponential distributions.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...