Question: QUESTION 1 Five cards are numbered 1 to 5. Two cards are drawn at random (without replacement). Let X denote the sum of the numbers

QUESTION 1 Five cards are numbered 1 to 5. Two cards are drawn at random (without replacement). Let X denote the sum of the numbers drawn. Find the distribution of X. (5 marks) QUESTION 2 The discrete random variable X has the following probability distribution function. x = 1,3,5,7 C f(x ) = ( x+ 1)- x = 2,4,6 C i) Find the value of c. (2 marks) ii) Find P( | X-3 | 21). (3 marks) iii) Find E(5X+3) and Var(3X-8) (7 marks)

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