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Contracts for two construction jobs are randomly assigned to one or more of three firms A,...

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Basic Math

Contracts for two construction jobs are randomly assigned to oneor more of three firms A, B, and C. Let Y1 denote the number ofcontracts assigned to firm A and Y2 the number of contractsassigned to firm B. Recall that each firm can receive 0, 1 or 2contracts.

(a) Find the joint probability function for Y1 and Y2.

(b) Find the marginal probability of Y1 and Y2.

(c) Are Y1 and Y2 independent? Why?

(d) Find E(Y1 − Y2).

(e) Find Cov(Y1, Y2)

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There are three firms Job is randomly assigned to one of thefirms randomly ieProbability of a job assigned to one of the given firms    See Answer
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