Of nine executives in a business firm, three are married, four have never married, and two are divorced. Three of the executives are to be selected for promotion. Let Y, denote the number of married executives and Y, denote the number of never-married executives among the three selected for promotion. Assume that the three are randomly selected from the nine available. We determined that the joint probability distribution of Y,, the number of married executives, and Y,, the number of never-married executives, is given by GX---) (:) P(Y1, Y2) = - where y, and y, are integers, o s y, s 3, 0 s y, s 3, and 1 s y, + y, s 3. (a) Find the marginal probability distribution of Y,, the number of married executives among the three selected for promotion. (Enter your probabilities as fractions.) Y1 Marginal Probability (b) Find P(Y, = 1|Y, = 2). (Enter your probability as a fraction.) (c) If we let Y, denote the number of divorced executives among the three selected for promotion, then Y3 = 3 - Y, - Y2. Find P(Y = 1|Y, = 1). (Enter your probability as a fraction.)

Of nine executives in a business firm, three are married, four have never married, and two are divorced. Three of the executives are to be selected for promotion. Let Y, denote the number of married executives and Y, denote the number of never-married executives among the three selected for promotion. Assume that the three are randomly selected from the nine available. We determined that the joint probability distribution of Y,, the number of married executives, and Y,, the number of never-married executives, is given by GX---) (:) P(Y1, Y2) = - where y, and y, are integers, o s y, s 3, 0 s y, s 3, and 1 s y, + y, s 3. (a) Find the marginal probability distribution of Y,, the number of married executives among the three selected for promotion. (Enter your probabilities as fractions.) Y1 Marginal Probability (b) Find P(Y, = 1|Y, = 2). (Enter your probability as a fraction.) (c) If we let Y, denote the number of divorced executives among the three selected for promotion, then Y3 = 3 - Y, - Y2. Find P(Y = 1|Y, = 1). (Enter your probability as a fraction.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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