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Introduction to Probability and Statistics QUESTION 3 Suppose that X is a discrete random variable with probability distribution as shown in the following table: X

Introduction to Probability and Statistics

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QUESTION 3 Suppose that X is a discrete random variable with probability distribution as shown in the following table: X -2 O P(X = x) a b C a) Given that E(X) =1 and E(X"?) =4, find the value of a, b and c. (6 marks) b) Find the value of E(X' + X +5) and Var(2X" +3). (4 marks)

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