Q2. (a) The students A, Az and A3 go to college on any given day with...

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Q2. (a) The students A, Az and A3 go to college on any given day with probability P(A.), where i = 1,2 and 3. Suppose that the event of A going to college is independent of Az going to college on any given day, P(A, n A A3) = 0.04, P(A3|ANA2) = 0.25, and P(A) = 4P(A). i. ii. iii. If the probability of all three students not coming to college on any given day is 0.06, what is the probability that at least one of them will come to college on that day? Evaluate P(A, U A2) and interpret it. If A has come to college on any given day, what is the probability that A, and A will also come to college on that day? (1+2+2) Q2. (a) The students A, Az and A3 go to college on any given day with probability P(A.), where i = 1,2 and 3. Suppose that the event of A going to college is independent of Az going to college on any given day, P(A, n A A3) = 0.04, P(A3|ANA2) = 0.25, and P(A) = 4P(A). i. ii. iii. If the probability of all three students not coming to college on any given day is 0.06, what is the probability that at least one of them will come to college on that day? Evaluate P(A, U A2) and interpret it. If A has come to college on any given day, what is the probability that A, and A will also come to college on that day? (1+2+2)