I am designing a ow reactor and need glass tubes with an inside diameter of 0.300 :I: 0.005 inch. The tubes may be considered a random variable having a normal distri- bution with ,u = 0.302 inch and a = 0.003 inch. What percentage of these tubes will meet my specications? Given the following table of the joint pmf for two variables X and Y: Y 0 1 2 0 0.10 0.04 0.02 x 1 0.08 0.20 0.06 2 0.06 0.14 0.30 o What is P(X=1 and Y=1)? o What is (Kg landYg 1)? 0 Compute the marginal pmf of X and Y. o Are X and Y independent? Briey explain. What is Cov(X,Y) for the previous problem? Given the probability density 4mg 0