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You receive exactly six telephone calls during weekdays (Monday through Friday). The calls are equally likely to fall on each of the five days.

You receive exactly six telephone calls during weekdays (Monday through Friday). The calls are equally likely to fall on each of the five days. Let A, denote the event that you receive no calls on the i-th weekday (e.g., A2 {no calls on Tuesday}). Round your answers to six (6) decimal places. 3. Find P(A), i = 1,...,5 (the probabilities are the same for each i). 4. Find P(A, Aj), i j. 5. Find P(A, 6. Find P(A 7. Find P(A A A3 A4 A5). 8. - A; nAk), ijk. Aj k e), i j k l. Compute the probably that you receive at least one call on each of the five weekdays. [HINT: The desired probability is given by 1- P(A U A U A3 U A4 U A5). Use the inclusion/exclusion rule (Theorem 1.1-6, but you will need to generalize it to five sets) to compute P(A U A U A3 U A4 U A5).]

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