х O 1 2 3 1. i. Suppose a discrete random variable X has a probability mass function fx(x) given by: f(x)=P(X=x) 0.4 0.3

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х O 1 2 3 1. i. Suppose a discrete random variable X has a probability mass function fx(x) given by: f(x)=P(X=x) 0.4 0.3 0.2 0.1 (1 mark) If the random variable Y = g(x) = 2X – 1, find fy(5). ii. Let X be a Uniform(0, 1) random variable and let y = g(x) = -5X + 3. Give your answers to four decimal places where appropriate. a) Find g-'y). (2 marks) b) Find cols="(x) = (1 mark) c) Find the probability density function of Yon (-2, 3]. (2 marks)