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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.

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