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Q3 Alex makes surfboards by hand. Alex has estimated the following probabilities for surfboard production for the next week. Number of Surfboards 5 6 7

Q3 Alex makes surfboards by hand. Alex has estimated the following probabilities for surfboard production for the next week. Number of Surfboards 5 6 7 8 9 10 Probability 0.13 0.22 0.31 0.17 0.13 0.04 Let A be the event that Alex produces more than seven surfboards. Let B be the event that Alex produces exactly six surfboards. a. What is the probability of event A? b. What is the probability of the complement of A? c. What is the probability of the intersection of events A and B? Why? d. Are events A and B collectively exhaustive? Why?

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