I need help solving this problem. Please help me by answering and providing explanations.

Problem 1. Another continuous distributiOn is the Weibnll distribution, which has the pdf EQnaloW)\" if :r 2 O, and 0 otherwise, where or and are any positive c0nstants. (a) Show that this is a valid pdf no matter what positive constants or and 5 are. (b) If X has a Weibull distribution with a : 2 and : 3, What is the probability that X lies between 1 and 4? (c) With the same values of a and 67 what is the mode of X