A service facility operates with two service lines. The random variables X and Y are the...
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A service facility operates with two service lines. The random variables X and Y are the proportions of the time that line 1 and probability density function for (X,Y) is given below. Complete parts (a) through (d) below. 5x²+², 0sxys 1, f(x,y) = 0, (a) Determine whether or not X and Y are independent. X and Y are not independent, since f(x,y) is not equal to g(x)h(y), where g(x) and h(y) are the marginal distribu (b) It is of interest to know something about the proportion of Z=X+Y, the sum of the two proportions. Find E(X+Y). Also fi E(X+Y)= (Simplify your answer.) elsewhere A service facility operates with two service lines. The random variables X and Y are the proportions of the time that line 1 and probability density function for (X,Y) is given below. Complete parts (a) through (d) below. 5x²+², 0sxys 1, f(x,y) = 0, (a) Determine whether or not X and Y are independent. X and Y are not independent, since f(x,y) is not equal to g(x)h(y), where g(x) and h(y) are the marginal distribu (b) It is of interest to know something about the proportion of Z=X+Y, the sum of the two proportions. Find E(X+Y). Also fi E(X+Y)= (Simplify your answer.) elsewhere
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Related Book For
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
Posted Date:
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