Consider the random variables X and Y with the joint density function shown to the right. (a) Find the marginal distributions of X and Y. (b) Find P(X>0.8, Y> 0.9). 1 f(x,y)= 3x+3y, 0≤x≤2, 0sys1 , for 0 ≤ y ≤ 1. for 0≤x≤ 2. elsewhere (a) Select the correct choice below and fill in the answer box to complete your choice. O A. The marginal distribution of X is g(x) = OB. The marginal distribution of X is g(x)=

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 30CR
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I need help with this part a and b

Consider the random variables X and Y
with the joint density function shown to the
right.
(a) Find the marginal distributions of X and
Y.
(b) Find P(X>0.8, Y > 0.9).
1 1
f(x,y) = 3x + 3y,
0,
O A. The marginal distribution of X is g(x) =
O B. The marginal distribution of X is g(x) =
(a) Select the correct choice below and fill in the answer box to complete your choice.
for 0 ≤ y ≤ 1.
0≤x≤2, 0≤y≤1
for 0≤x≤ 2.
elsewhere
Transcribed Image Text:Consider the random variables X and Y with the joint density function shown to the right. (a) Find the marginal distributions of X and Y. (b) Find P(X>0.8, Y > 0.9). 1 1 f(x,y) = 3x + 3y, 0, O A. The marginal distribution of X is g(x) = O B. The marginal distribution of X is g(x) = (a) Select the correct choice below and fill in the answer box to complete your choice. for 0 ≤ y ≤ 1. 0≤x≤2, 0≤y≤1 for 0≤x≤ 2. elsewhere
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