Question 3. Canadian Blood Services collects blood for transfusions and other medical applications. The blood collection...

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Question 3. Canadian Blood Services collects blood for transfusions and other medical applications. The blood collection clinic at Bayers Road makes appointments for 300 blood donations each week. (Assume that all appointments are kept.) Blood type AB is the rarest of the four blood types (the others are A, B, and O.) Only 4% of donors have type AB blood. a. Let X = number of donors out of the 300 who have type AB blood. Verify that X has a binomial distribution. b. Find the mean, variance and standard deviation of X. c. Justify why you can use a normal approximation for the distribution of Type AB blood. d. Find the probability that there are 15 or more samples of blood type AB in 300 donor samples. Question 3. Canadian Blood Services collects blood for transfusions and other medical applications. The blood collection clinic at Bayers Road makes appointments for 300 blood donations each week. (Assume that all appointments are kept.) Blood type AB is the rarest of the four blood types (the others are A, B, and O.) Only 4% of donors have type AB blood. a. Let X = number of donors out of the 300 who have type AB blood. Verify that X has a binomial distribution. b. Find the mean, variance and standard deviation of X. c. Justify why you can use a normal approximation for the distribution of Type AB blood. d. Find the probability that there are 15 or more samples of blood type AB in 300 donor samples.

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