Probability and Discrete Random Variable

1. Let A and B be two events. Suppose that P(A) = 0.2, P(B) = 0.5 and P(B|A) = 0.6. What is the probability of A or B or both occurring?

2. Let A and B be two events. Suppose that P(A) = 0.2, P(B) = 0.5 and P(B|A) = 0.5. What is the probability of A occurring given that B occurs?

3. A common problem facing many older metal casting processes is flashing. A company has had to scrap 13 percent of its parts due to severe problems with flashing. Consider the next 9 parts cast by the process. Find the expected number of parts scrapped. Calculate your answer to four decimal places.

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