Hi i need some help with these questions on probability

Question 3 (10 marks) Let X be a random variable with cumulative distribution function (cdf) given by 0: $50; Fx($)= (%)o} 0 0, 9 > 0. (a) Find fxt), the probability density function {pdf). (b) Find a transformation 00') such that, if Y has a uniform distribution on the interval (0,1), C(Y) has the same distribution as X. (c) Hence explain how you would generate a random number from the cdf FX (2:) if you have Uniform (0, 1) random numbers available. [(1) Assume o: = 2, 6 = 4. Give the R code for part (c). You may use the R function runif