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. 3. Refer to QUESTION 2. Consider a random sample of three Canadian men, and let P represent the proportion of these men who will eventually develop prostate cancer. Derive the sampling distribution of P. Hint: Create a probability table. What four values can Passume?

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