Question 1: A factory is expecting to receive new machinery. The manager is cert

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Question 1: A factory is expecting to receive new machinery. The manager is certain that the machinery will arrive in at most 7 days, but he does not know on which day it will arrive. Let A be the event that "It will be more than 4 days before the machinery arrives" and B be the event that "It will be less than 6 days before the machinery arrives" a) Describe the sample space. b) Describe the event A c Describe the event (An B) d) Describe the event AUB e) Are events A and B mutually exclusive? Explain. f Are events A and B collectively exhaustive? Explain. g) (A n B) U (A n B)-? h) Show that Au (A n B) AU B

Explanation / Answer

(According to Chegg policy, only four subquestions will be answered. Please post the remaining in another question)

a. The sample space is S = {0,1,2,3,4,5,6,7}

b. A = {5,6,7}

=> Ac = {0,1,2,3,4}

c. A B is the event that "It will be exactly 5 days before the machinery arrives".

d. A U B is the same as U or the event that "It will take atmost 7 days before the machinery arrives".

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