I need your help answering this problem. Please help me by answering and showing explanations.

Problem 1. Another continuous distribution is the Weibttll distribution, which has the pdf gaoalo(w/l\" if a: Z 0, and 0 otherwise, where or and 5 are any positive c0nstants. (a) Show that this is a valid pdf no matter what positive constants a and ,6 are. (b) If X has a Weibull distribution with at : 2 and {3 : 3, What is the probability that X lies between 1 and 4? (c) With the same values of at and ,6, what is the mode of X