anyone help me with to solve this two problem 4.3-8. (a) Find a constant b (in terms of a) so that the functionbe-(x+y)- {80fx, y(x, y) =4.3-9 (a) Ru0 < x 4.2-10. Discrete random variables X and Y have a joint distribution functionFx, y(x, y) = 0.10u(x+4)u(y-1) +0.15u(x + 3)u(y + 5)+0.17u(x + 1)u(y - 3) +0.05u(x)u(y - 1)+0.18u(x - 2)u(y + 2) +0.23u(x - 3)u(y-4)+0.12u(x-4)u(y + 3)Find: (a) the marginal distributions Fy(x) and Fy(y) and sketch the twofunctions, (b) X and Y, and (c) the probability P{-1 < X < 4, -3 < Y ≤ 3}.

Given that Joint pdf of X and Y is f(x,y) = be-(x+y) , 0<x<a , 0<y<infinite Note :…

Answered: 4.3-8. (a) Find a constant b (in terms…

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Probability

4.3-8. (a) Find a constant b (in terms of a) so that the function be (x+y) 1) = { bc and 0 fx, y(x, 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 42CR

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Question

anyone help me with to solve this two problem

4.3-8. (a) Find a constant b (in terms of a) so that the function
be-(x+y)
- {8
0
fx, y(x, y) =
4.3-9 (a) Ru
0 < x <a and
elsewhere
is a valid joint density function.
(b) Find an expression for the joint distribution function.
0<y<∞

4.2-10. Discrete random variables X and Y have a joint distribution function
Fx, y(x, y) = 0.10u(x+4)u(y-1) +0.15u(x + 3)u(y + 5)
+0.17u(x + 1)u(y - 3) +0.05u(x)u(y - 1)
+0.18u(x - 2)u(y + 2) +0.23u(x - 3)u(y-4)
+0.12u(x-4)u(y + 3)
Find: (a) the marginal distributions Fy(x) and Fy(y) and sketch the two
functions, (b) X and Y, and (c) the probability P{-1 < X < 4, -3 < Y ≤ 3}.

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