Solve by hand and show integration steps all the way. Handwritten. Compute the expected values using the given joint probability density function over the specified region:4-Z44-z-2y2E(X)= f*f*= √₁² √ ² ²xyz²dx dy dz0 004-Z2- 550 0=E(Y) =X=1=IN315512315512==E(Z) = S113155120 05² 5²0 0-4-Z24√0 0323155120 04-Z24512 o o4-Z4x²= 315 √ √ [*]2 y²z²20JoY=1/1/20 004-Z2315512₁-2-²x²yz²dx dy dz04-Z2yz·[*[²²²²-²-²2, 315 xyz²dx dy dizZ.04-Z2X.4-z-2y 315y'512x³14-z-2y3 Joyz³²-2-2% xy²z²dx dy dz0dy dzxyz²dx dy dz274-z-2y5²²1-2-24 xyz³dx dy dz0dy dzx² 74-z-2y2 Jody dz

Answered: Image /qna-images/answer/c93e30fb-ffc8-4311-90f0-faa17b8c95ab.jpg

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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