Compute the expected values using the given joint probability density function over the specified region: 4-z-2y 315 E(X)= ^f* xyz²dx dy dz 512 0 0 = = 512 315 512 IN 11 4- 2 E(Z) = Sª -z-2y ***2x²y2² dx dy dz 0 0 0 3 0 0 315 512 0 0 0 4-Z X=1 4-z-2y E(Y) = S - [*[²7²²-²² y. 3125 xyz² dx dy dz y' 0 0 0 4-Z 2 5² 5² 5 4-2 2 0 0 yz 4-Z - 315 (17²[* 2 0 x³ 74-z-2y 3 2 -z-2y -z-2y -*****²2.315 xyz²dx dy dz 0 0 0 -3157 ² 0 0 4-Z 2 315 512 55 yz³ 0 0 dy dz xy²z²dx dy dz 74-z-2y 2 dy dz ₁-2-2% xyz³dx dy dz x²74-z-2y dy dz
Compute the expected values using the given joint probability density function over the specified region: 4-z-2y 315 E(X)= ^f* xyz²dx dy dz 512 0 0 = = 512 315 512 IN 11 4- 2 E(Z) = Sª -z-2y ***2x²y2² dx dy dz 0 0 0 3 0 0 315 512 0 0 0 4-Z X=1 4-z-2y E(Y) = S - [*[²7²²-²² y. 3125 xyz² dx dy dz y' 0 0 0 4-Z 2 5² 5² 5 4-2 2 0 0 yz 4-Z - 315 (17²[* 2 0 x³ 74-z-2y 3 2 -z-2y -z-2y -*****²2.315 xyz²dx dy dz 0 0 0 -3157 ² 0 0 4-Z 2 315 512 55 yz³ 0 0 dy dz xy²z²dx dy dz 74-z-2y 2 dy dz ₁-2-2% xyz³dx dy dz x²74-z-2y dy dz
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 25E
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