You roll a fair 6-sided dice, let Y be the outcome of the dice roll. Then...

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You roll a fair 6-sided dice, let Y be the outcome of the dice roll. Then...

You roll a fair 6-sided dice, let Y be the outcome of the dice roll. Then conditioned on the event {Y = k} for k = 1, . . . , 6 you randomly choose, X, to be uniformly distributed between 0 and k.

a) Use the law of total probability to compute P({X < x}). b) Use part a) to compute fx(x). c) What is the expectation of X.

math Statistics-And-Probability

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