A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and t probability of heads is .25, and one trick coin which has tails on both sides. (a) What is the probability that a randomly selected coin from the box will come up heads wh flipped? (b) Suppose you randomly pick a coin from the box and flip it, and it comes up tails. What is t probability that it's the trick coin? (c) Let X be the random variable that represents the number of heads when every coin in the box flipped. What is the probability distribution of X? (Hint: you can try counting all the outcome or you can remember that coin flins are independent of each other)

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