Question: Question 4 Let X be a continuously uniform random variable under the domain of 0 and 1. Let Y = -5 In X. (a) Determine

Question 4 Let X be a continuously uniform random variable under the domain of 0 and 1. Let Y = -5 In X. (a) Determine the probability density function of Y. [9 marks] (b) Calculate E(Y + Yz). [5 marks] (c) By using Markov's theorem, calculate the maximum value of P(Y > 8). [3 marks]

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