The Agency for Healthcare Research and Quality reported that 53% of people who had coronary bypass surgery in the recent year were over the age of 65. Let X be the number of people over 5 years of age who had coronary bypass surgery. 15 coronary bypass patients are sampled,   a) Calculate the probability that exactly 9 of them are over the age of 65  b) Calculate the probability that less than 5 them are over the age of 65.

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