Let X be the prive of a meal at a local diner X 810and 12 a

Let X be the prive of a meal at a local diner( X = $8,$10,and $12) and let Y be the amount of tip left per meal (Y = $1.50,$2 or $2.50). the joint probability function of X and Y is given by

a. Find f(X = 10, Y=2) and interpret what this value represents.

c. Find the marginal distributions of X and Y.

d. Determine if X and Y are independent Random Variables or not. Explain why or why not.

f(x,y) Y=1.50 Y=2.00 Y=2.50
X=8 .3 .12 0
X=10 .15 .135 .025
X=12 .03 .15 .09

Solution

Let X be the prive of a meal at a local diner( X = $8,$10,and $12) and let Y be the amount of tip left per meal (Y = $1.50,$2 or $2.50). the joint probability f

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