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Suppose that you are taking statistics. accounting, and economics this semester.

ID: 3330157 • Letter: S

Question

Suppose that you are taking statistics. accounting, and economics this semester. Your parents tell you that they will buy you a new car if at least one of the following happens: either you get an A in both accounting AND economics, or you get an A in statistics. You have decided that the probability of getting an A in any of the courses is 0.2, and that your performance in each course is independent of your performance in other courses. What is the probability that you will get a new car at the end of the semester? (Round to 3 decimal places and use a leading zero for probabilities between 0 and 1. Ex: write 0.60, not .60)

Explanation / Answer

P(either you get an A in both accounting AND economics) =0.2*0.2=0.04

P(you get an A in statistics)=0.2

Thus probability is 0.04+0.2=0.24

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