A random variable X has a Weibull distribution if andonly if its probability density is given byf(x) = kxβ−1e−αxβfor x > 00 elsewhere where α > 0 and β > 0.(a) Express k in terms of α and β.(b) Show that μ = α−1/β1 +1β. Note that Weibull distributions with β = 1 are exponen-tial distributions.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.