e joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.) f(x, y) = (Cx(1+y) if 0≤x≤ 6,0 ≤ y ≤4 otherwise a) Find the value of the constant C. b) Find P(X ≤ 1, Y ≤ 1). =) Find P(X+Y ≤ 1).
e joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.) f(x, y) = (Cx(1+y) if 0≤x≤ 6,0 ≤ y ≤4 otherwise a) Find the value of the constant C. b) Find P(X ≤ 1, Y ≤ 1). =) Find P(X+Y ≤ 1).
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 29CR
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The joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.)
f(x, y) =
Cx(1 + y) | if 0 ≤ x ≤ 6, 0 ≤ y ≤ 4 |
0 |
otherwise |
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