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Problem 1. Another continuous distribution is the Weilmii distribution, which has the pdf iax'klz(Ixm if :r 2 O, and 0 otherwise, where a and are any positive constants. (a) Show that this is a valid pd_f no matter what positive constants or and ,6 are. (b) If X has a Weibull distribution with 0: = 2 and {3 = 3, what is the probability that X Lies between 1 and 4? (c) With the same values of a and , what is the mode of X