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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=1.50Y=2.00Y=2.50X=8.3.120X=10.15.135.025X=12.03.15.09
Solution

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Let X be the prive of a meal at a local diner( X = $8,$10,and $12) a.pdf

  • 1. 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=1.50Y=2.00Y=2.50X=8.3.120X=10.15.135.025X=12.03.15.09 Solution