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In: Statistics and Probability

Assigned Problem: On New Year's Eve, the probability of a person driving while intoxicated or having...

Assigned Problem:

On New Year's Eve, the probability of a person driving while intoxicated or having a driving accident is 0.38. If the probability of driving while intoxicated is 0.31 and the probability of having a driving accident is 0.11, find the probability of a person having a driving accident while intoxicated.

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Expert Solution

P(driving while intoxicated or having a driving accident) = 0.38

P(driving while intoxicated) = 0.31

P(having a driving accident) = 0.11

P(driving while intoxicated and having a driving accident) = P(driving while intoxicated) + P(having a driving accident) - P(driving while intoxicated or having a driving accident)

                                    = 0.31 + 0.11 - 0.38

                                    = 0.04

P(having a driving accident | while intoxicated) = P(driving while intoxicated and having a driving accident) / P(driving while intoxicated)

                                                       = 0.04 / 0.31

                                                       = 0.129

orchestra answered 1 year ago
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