2. It is estimated that 1 in 9 Canadian men will develop prostate cancer during their lifetime. (a) Consider a random sample of 180 Canadian men. Let X represent the number of these men who will eventually develop prostate cancer. What is the probability distribution of X? (b) What probability distribution can be used to approximate the probability distribution from part (a)? Explain. (c) Use your answer in part (b) to approximate the probability that at most 20 of the 180 Canadian men will eventually develop prostate cancer.

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