Concept explainers
In Exercise 5.1, we determined that the joint distribution of Y1, the number of contracts awarded to firm A, and Y2, the number of contracts awarded to firm B, is given by the entries in the following table.
The marginal probability
- a. E(Y1).
- b. V(Y1).
- c. E(Y1 – Y2).
5.1 Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and C. Let Y1 denote the number of contracts assigned to firm A and Y2 the number of contracts assigned to firm B. Recall that each firm can receive 0, 1, or 2 contracts.
- a. Find the joint probability function for Y1 and Y2.
- b. Find F(1,0).
5.19 In Exercise 5.1, we determined that the joint distribution of Y1, the number of contracts awarded to firm A, and Y2, the number of contracts awarded to firm B, is given by the entries in the following table.
- a. Find the marginal probability distribution of Y1.
- b. According to results in Chapter 4, Y1 has a binomial distribution with n = 2 and p = 1/3. Is there any conflict between this result and the answer you provided in part (a)?
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Chapter 5 Solutions
Mathematical Statistics with Applications
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