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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Question

100%

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

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) = ({(x(1+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).
(c) Find P(X + Y ≤ 1).

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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