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1. Suppose a fair six-sided die is rolled twice. Let X be a random variable for the maximum value that appears on the top face

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1. Suppose a fair six-sided die is rolled twice. Let X be a random variable for the maximum value that appears on the top face in the two rolls. [7 marks] (a) Find f (3:), the probability mass function of X. (b) Find F(3:), the cumulative distribution function of X. (c) What is the probability that the maximum number to appear is greater than 4

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