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
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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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<∞](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4aae1737-8bec-41a7-906c-c652d61498a6%2Fd687d7b1-8286-4989-a634-475da9e67564%2Fu8wsx3i_processed.png&w=3840&q=75)
Transcribed Image Text: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}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4aae1737-8bec-41a7-906c-c652d61498a6%2Fd687d7b1-8286-4989-a634-475da9e67564%2F8vfl5s_processed.png&w=3840&q=75)
Transcribed Image Text: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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