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?
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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 35E
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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
b If employee I works half of the time, what is the variance of the time that employee II works?
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