fx,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.
fx,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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Explan part c) in detail for me to understand. Thank you!
Transcribed Image Text:1. Continuous random variables 0 ≤ X ≤ 2 and 0 ≤ Y ≤ 2 have joint probability density function
fx,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(x > 2X).
Draw a picture of the full range and the event Y > 2X to help you understand this problem.
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