CHEM 131 Midterm: Exam 3 No Solutions Fall 1999

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6 (b) events a and b are two mutually exclusive events with non-zero probabilities. Durmstrang institute claims that the two events are independent. Solution: (a) =px x p (x = x) = 2 1. 2 =px(x )2 p (x = x) = (2 3. 5)2 1. 6 = 0. 9167. (b) the events a and b are mutually exclusive, i. e. a b = , and hence, p (a b) = 0. B are also independent events, p (a b) = p (a)p (b) 6= 0, which is a contraction. 6 = 7: 2 (a) only 1 in 1000 people carry midichlorians in their cells. Qui gon jinn has developed a diagnostic test to identify the presence of the midi-chlorians in a human body. The test correctly detects the presence of midichlorians in 96% of the subjects who actually have midichlorians. However, his test falsely identi es 1% of the subjects as midichlorians carriers.

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