Surveys UWM Librar 210 Intro to Management Statistics sions |Quizzes Dropbox Gra
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Surveys UWM Librar 210 Intro to Management Statistics sions |Quizzes Dropbox Grades 5. Bayes Rule-Quiz Haneen Ali: Attempt 1 Quiz Note: it is recommended that you save your response as you complete each question Question 1 (1 point A friend who woarks in a big city owns two cars, one small and one large. Three-quarters of the time work and one-quarter of the time he drives the large car. Ifhe takes the small car, he usualily has litte touble parking, and so is at work on time with probability 0.9. If he takes the large car, he is at work on time with probability 0.6. Given that he was on time on a particular moming, what is the probability that he drove the small car? and o Save Question 2 (1 point) Explain what prior probability in Bayesian analysis refers to.Explanation / Answer
P(he drove smaller car) = 3/4 = 0.75
P(he drove larger car) = 1/4 = 0.25
P(he is at work on time) = 0.9 * 0.75 + 0.25 * 0.6 = 0.825
P(he drove the smaller car | he is at work on time)
= P(he is at work on time | he drove the smaller car ) * P(he drove the smaller car)/P(he is at work on time)
= 0.9 * 0.75/0.825
= 0.818
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