Q3 (20 points) The medical records of the 445 male diabetics patients reporting to a clinic during one year provide the following results: Diabetes in Parents Age of the Patient I Yes I No Below 20 l 50 l 48 20 to 40 | 72 | 30 Above 40 103 92 Find the probability that: (a) The age of the patients is above 40 and their parents are not diabetics. (b) The age of the patients is above 40 or their parents are not diabetics. (c) The age of the patients is above 40 given that their parents are not diabetics. (d) The age of the patients is between 20 and 40 or their parents are diabetics. If A="The age of the patient is below 20" and B="Patient's parents are diabetics" (e) Are events A and B independent? Justify tour answer. (f ) Are events A and B mutually exclusive? Justify tour