Question: 27. If U is uniformly distributed on (0, 1) that is, U is a random number show that [(1/) log U]1/ is a

27. If U is uniformly distributed on (0, 1) — that is, U is a random number —

show that [−(1/α) log U]1/β is a Weibull random variable with parameters

(α, β).

The next three problems are concerned with verifying Equations 14.5.5 and 14.5.7.

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