A health-food store stocks two different brands of a certain type of grain. Let X = the

Question:

A health-food store two different brands of a certain type of grain. Let X = the amount (lb) of brand A on hand and Y = the amount of brand B on hand. Suppose the joint pdf of X and Y is

a. Draw the region of positive density and determine the value of k.
b. Are X and Y independent? Answer by first deriving the marginal pdf of each variable.
c. Compute P(X + Y ‰¤ 25).
d. What is the expected total amount of this grain on hand?
e. Compute Cov(X, Y) and Corr(X, Y).
f. What is the variance of the total amount of grain on hand?

Stocks
Stocks or shares are generally equity instruments that provide the largest source of raising funds in any public or private listed company's. The instruments are issued on a stock exchange from where a large number of general public who are willing...