Coin A has a probability of head equal to 1/4 and probability of tail equa to 3/4 and coin B is a fair coin. Each coin is flipped four times. Let th random variable X denote the number of heads resulting from coin A an Y denote the resulting number of heads from coin B. (a) What is the probability that X = Y = 2 ? (b) What is the probability that X = Y ? (c) What is the probability that X > Y? (d) What is the probability that X + Y< 5?

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