In Exercise 5.1, we determined that the joint distribution

Chapter 5, Problem 19E

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QUESTION:

In Exercise 5.1, we determined that the joint distribution of \(Y_{1}\), the number of contracts awarded to firm ????, and \(Y_{2}\), the number of contracts awarded to firm B, is given by the entries in the following table.

a Find the marginal probability distribution of \(Y_{1}\).

b According to results in Chapter 4, \(Y_{1}\) has a binomial distribution with \(n=2 \text { and } p=1 / 3\). Is there any conflict between this result and the answer you provided in part (a)?

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QUESTION:

In Exercise 5.1, we determined that the joint distribution of \(Y_{1}\), the number of contracts awarded to firm ????, and \(Y_{2}\), the number of contracts awarded to firm B, is given by the entries in the following table.

a Find the marginal probability distribution of \(Y_{1}\).

b According to results in Chapter 4, \(Y_{1}\) has a binomial distribution with \(n=2 \text { and } p=1 / 3\). Is there any conflict between this result and the answer you provided in part (a)?

ANSWER:

Step 1 of 3

Let us consider a random variables \(\left(Y_{1}, Y_{2}\right)\) denotes the number of contracts awarded to firm A and firm B. and it is shown below table:

Here our goal is:

a). We need to find the marginal probability distribution of \(Y_{1}\).

b). We need to check whether is there any conflict between this result and the answer you provided in part (a), According to results in Chapter 4, \(Y_{1}\) has a binomial distribution with n = 2 and \(\mathrm{p}=\frac{1}{3}\).

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