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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1.Continuous random variables 0 ≤ X ≤ 2 and 0 ≤ Y ≤ 2 have joint probability density
(b)Compute E(XY).
(c)Compute P (Y > 2X). Draw a picture of the full range and the
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