Question: QUESTION 1 Three fair dice are rolled at once. Let X denote the number of dice that land with the same number of dots on

QUESTION 1 Three fair dice are rolled at once. Let X

QUESTION 1 Three fair dice are rolled at once. Let X denote the number of dice that land with the same number of dots on top as at least one other die. a) Find the probability distribution of the random variable X . (6 marks) b) Find P(X > 1) . (3 marks) C) Draw a graph of X . (3 marks) d) Find the mean and variance of Y =(4+3X). (8 marks)

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