Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and C. Let Y, denote the number of contracts assigned to firm A and Y, the number of contracts assigned to firm B. Recall that each firm can receive 0, 1, or 2 contracts. The joint distribution of Y,, the number of contracts awarded to firm A, and Y,, the number of contracts awarded to firm B, is given by the entries in the following table. 0 1 2 2 1 (a) Find the marginal probability distribution of Y2. 1 2 Marginal Probability

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and C. Let Y, denote the number of contracts assigned to firm A and Y, the number of contracts assigned to firm
B. Recall that each firm can receive 0, 1, or 2 contracts.
The joint distribution of Y,, the number of contracts awarded to firm A, and Y,, the number of contracts awarded to firm B, is given by the entries in the following table.
Y2
1
2
2
1
1
(a) Find the marginal probability distribution of Y,.
Y2
Marginal Probability
Transcribed Image Text:Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and C. Let Y, denote the number of contracts assigned to firm A and Y, the number of contracts assigned to firm B. Recall that each firm can receive 0, 1, or 2 contracts. The joint distribution of Y,, the number of contracts awarded to firm A, and Y,, the number of contracts awarded to firm B, is given by the entries in the following table. Y2 1 2 2 1 1 (a) Find the marginal probability distribution of Y,. Y2 Marginal Probability
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