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
