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Bags of Boilermaker jelly beans always weigh exactly 100 grams. They contain black jelly beans and...

Bags of Boilermaker jelly beans always weigh exactly 100 grams. They contain black jelly beans and gold jelly beans. The black jelly beans weigh 1 gram. The gold jelly beans weigh 2 grams.

The number of black jelly beans in a bag is a random variable X with mean 40 and standard deviation 6. Let Y be the number of gold jelly beans in the same random bag.

(a). Find E(Y) and SD(Y).

(b). Find rho (X,Y) = correlation of X and Y.

math   Statistics-And-Probability   
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