1. (15points)DiscreteRandom Variables
   1. (7 points)

An office supply company currently holds 30% of the market for supplying suburban governments in Washington, D.C. This share has been quite stable and there is no reason to think that it will change. The company has four bids outstanding, prepared by its standard procedure. Let the random variable Y be the number of the company's bids that are accepted. Construct the probability distribution of Y, assuming that the bids are independent. What is the average number of bids that are accepted?

1. (8points)

Thebivariate probabilitydistributionof XandYisgiveninthetablebelow.

	y
x	2		4
5	0.10		0.20
10	0.10		0.20
15	0.30		0.10

1. (2 points)

ObtainthemarginalprobabilitydistributionofX.

1. (2 points)

AreXandYindependent?Explain.

1. (4 points) CalculateCov(X,Y).