A corporation has just received a nem machinery that must be installed and check

Question

A corporation has just received a nem machinery that must be installed and checked before it becomes operational. The accompanying table shows a manager's probability assessment for the number of days required before the machinery becomes operational. Let A be the event "It will be more than 4 days before the machinery becomes operational", and let B be the event "It will be less than 6 days before the machinery becomes available"). a. Find the probability of event A b. Find the probability of event B c. Find the probability of the complement of event A d. Find the probability of the intersection of events A and B e. Find the probability of the union of events A and B

Explanation / Answer

a) P (A) = 0.41+0.20+0.07 = 0.68

b) P(B) = 0.08+0.24+0.41 = 0.73

c) P(A') = 1-0.68 = 0.32

d) P(AnB) = P (more than 4 & less than 6) = P (5 days) = 0.41

e) P(AUB) = P (more than 4 or less than 6) = P (5,6 or 7 or 5 or 4) = 0.08+0.24+0.41+0.20+0.07 = 1 = ANswer

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