Problem 3. Let X be a continuous random variable that has the Weibull distribution, i.e. it has density of the form f( ) Amp15W, 33 > 0, 3; = 0, for a: S 0, where /\\ > 0 and p > 0 are parameters. a) Show that this density integrates to one; b) Let X1, ...,Xn be i.i.d. Weibull (p, A) random variables. Find the probability that at least one of them exceeds 3