Question 5: (6 marks) Five individuals have responded to a request by a blood bank for blood donations, but their blood types are unknown. Suppose only type Of is desired and only one of the five donors actually has this type. (a) If the potential donors are selected in random order for typing, what is the probability that at least three individuals must be typed to obtain the desired type? (b) What is the probability that the third donor has type Of? Question 6: (8 marks) Suppose 1% of woman develop breast cancer. Physicians report that a mammogram accurately classifies 80% of cancerous tumours and 90% of benign tumours. If a randomly selected woman is tested and the result is positive, what is the probability that she has the cancer? Question 7: (3 marks) The proportions of blood phenotypes in the U.S. population are summarized in the following table. A B AB O 0.40 0.11 0.04 0.45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that the phenotypes of two randomly selected individuals match? Show your work