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5. (a) The pdf of a continuous random variable X is given by 1/7, 2 S a: S 5 fX (13) = 0, elsewhere Find 1) 1306 > 1) ii)P(sin(7rX) S 0) (b) A bag contains 25 marbles. Each marble is equally likely to be red, green, orange, blue or brown. Four balls are drawn at random from the bag. Let R be the number of red balls in the draw. i) Find the probability mass function (PMF) of R? ii) What is the probability that the draw contained no red pieces