Exercises 6.14 and 6.24, let X and Y denote the proportions of time out of one workweek that employees I and II, respectively, actually spend performing their assigned tasks. The joint relative frequency behavior of X and Y is modeled by the probability density function f (x, y) = . x + y, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 0, elsewhere. a If employee I works half of the time, what is the mean time that employee II works? b If employee I works half of the time, what is the variance of the time that employee II works?

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 As in Exercises 6.14 and 6.24, let X and Y denote the proportions of time out of one workweek that
employees I and II, respectively, actually spend performing their assigned tasks. The joint relative
frequency behavior of X and Y is modeled by the probability density function
f (x, y) =
. x + y, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1
0, elsewhere.
a If employee I works half of the time, what is the mean time that employee II works?
b If employee I works half of the time, what is the variance of the time that employee II works?

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