There are three jars that each contain 10 marbles. The first contains 4 white ma

Question

There are three jars that each contain 10 marbles. The first contains 4 white marbles and 6 red marbles, the second 6 white and 4 red, and the third all 10 white. An experiment consists of first selecting a jar at random. (Assume each jar has an equal probability of being selected.) After a jar is selected, a marble is randomly drawn from this jar, noting Its color. If the marble drawn was white, find the probability that the third jar was selected. 0.500 The Office of Admissions and Records of a large western university released the accompanying information concerning the contemplated majors of its freshman class. (Round your answers to three decimal places.) (a) What is the probability that a student selected at random from the freshman class is a female? 0.475 (b) What is the probability that a business student selected at random from the freshman class is a male? 0.175 (c) What is the probability that a female student selected at random from the freshman class is majoring in business? 0.075

Explanation / Answer

5. a) P(female) = 0.25x0.3 + 0.08x0.57+0.1x0.67+0.1x0.53+ 0.06x0.56 + 0.41x0.49 = 0.475

b) P(male | business student) = 0.700

c) P(business | female) = P(female and business) | P(female) = 0.25x0.3/0.475 = 0.158

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