Question: 6. A value i is said to be the mode of a discrete random variable X if it maximizes p(x), the probability mass function of

6. A value i is said to be the mode of a discrete random variable X if it maximizes p(x), the probability mass function of X. Find the modes of random variables X and Y with probability mass functions p(x) = *1 2 ,x , x = 1, 2, 3, . . . , and q(y) = 4! y!(4 − y)! *1 4 ,y*3 4 ,4−y , y = 0, 1, 2, 3, 4, respectively.

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