SOLUTION: The probability that a late arrival due to bad weather is 0.04, the probability that a late arrival is rightly diagnosed to be by bad weather is 0.82, and the probability that the
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Question 1197665: The probability that a late arrival due to bad weather is 0.04, the probability that a late arrival is rightly diagnosed to be by bad weather is 0.82, and the probability that the late arrival is wrongly diagnosed to be by bad weather is 0.03. What is the probability that a late arrival is attributed to bad weather was actually due to bad weather? Answer in three decimals.
Hi
P(due to bad weather) = .02
P(Late IS actually due to bad weather) =.82
P(wrongly diagnosed) = .03 0r 1- .03 = .97 = P(rightly diagnosed)
P(that a late arrival is attributed to bad weather was actually due to bad weather)
P( due to bad weather | rightly diagnosed)
P(A|B) = P(A and B)/P(B) = (.02)(.82)/.97
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