1.Continuous random variables 0 ≤ X ≤ 2 and 0 ≤ Y ≤ 2 have joint probability density function f X,Y(x,y) = 3x2+4y 32 . (a)Find and simplify a formula for the marginal density function fX(x). (b)Compute E(XY). (c)Compute P (Y > 2X). Draw a picture of the full range and the event Y >2X to help you understand this problem.

1.Continuous random variables 0 ≤ X ≤ 2 and 0 ≤ Y ≤ 2 have joint probability density function f X,Y(x,y) = 3x2+4y 32 . (a)Find and simplify a formula for the marginal density function fX(x). (b)Compute E(XY). (c)Compute P (Y > 2X). Draw a picture of the full range and the event Y >2X to help you understand this problem.

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.CR: Chapter 13 Review

Problem 22CR

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