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(d) Find the probability that two of the first three balls are red. 2. Coin with random bias. You are given a coin but are

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(d) Find the probability that two of the first three balls are red. 2. Coin with random bias. You are given a coin but are not told what its bias (probability of heads) is. You are told instead that the bias is the outcome of a random variable P ~ Unif|0, 1). To get more infromation about the coin bias, you flip it independently 10 times. Let X be the number of heads you get. Thus X ~ Binom(10, P). Assuming that X = 9, find and sketch the conditional pmf of P, i.e., fpix (p|9)

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