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The joint probability density function of X and Y is given by Find c and the expected value of X: E(X) = f(x, y) = c(y² – 196x²)e™, - 1/4 У 14 У ≤ x ≤ 11/4, 0 < y < ∞

The joint probability density function of X and Y is given by Find c and the expected value of X: E(X) = f(x, y) = c(y² – 196x²)e™, - 1/4 У 14 У ≤ x ≤ 11/4, 0 < y < ∞

Calculus For The Life Sciences
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
Section13.1: Continuous Probability Models
Problem 31E: Show that each function defined as follows is a probability density function on the given interval;...
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The joint probability density function of X and Y is given by Find c and the expected value of X: E(X) = f(x, y) = c(y² – 196x²)e™, - 1/4 У 14 У ≤ x ≤ 11/4, 0 < y < ∞
Transcribed Image Text:The joint probability density function of X and Y is given by Find c and the expected value of X: E(X) = f(x, y) = c(y² – 196x²)e™, - 1/4 У 14 У ≤ x ≤ 11/4, 0 < y < ∞
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