typing all answers Let X and Y be random variables with joint probability densityfunction fx,y(x, y) wherefx.x(x, y) ={ce-2x-y if x > 0, y > 0)0elsewherea. Find c.b. Find P(X < 3).c. Find P(Y > 3).d. Determine if X and Y are independent.

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Let X and Y be random variables with joint probability density function fx,y(x, y) where fx,y(x, y) = = ce-2x-y if x > 0, y > 0)

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 21CR

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Question

typing all answers

Let X and Y be random variables with joint probability density
function fx,y(x, y) where
fx.x(x, y) =
{
ce
-2x-y if x > 0, y > 0)
0
elsewhere
a. Find c.
b. Find P(X < 3).
c. Find P(Y > 3).
d. Determine if X and Y are independent.

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Step 1: Write the given information.

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Step 2: Find the value of c.

Step 3: Find P(X<3).

Step 4: Find P(Y>3).

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