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SOLVED:A random variable X has a Weibull distribution if it has probability density function f(x)={ (β)/(θ)((x)/(θ))^β-1 e^-(x / θ)^β if x>0 0 if x ≤ 0. (a) Show that .∫-∞^∞ f(x) d x=1 . (Assume β>1 .) (b) If θ=3 and β=2, find the mean μand the variance σ^2 (c) If the lifetime of a computer monitor is a random variable X that has a Weibull distribution with θ=3 and β=2 (where age is measured in years) find the probability that a monitor fails before two years.
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