52. Suppose X, Y, and Z are random variables with joint density function f (r, y, z) = Ce-(0.5+0.2y+0.12) if a > 0, y > 0, z > 0, and f (x, y, z) = 0 otherwise. %3D a. Find the value of the constant C. b. Find P(X < 1, Y < 1). c. Find P (X<1, Y <1, Z < 1).
52. Suppose X, Y, and Z are random variables with joint density function f (r, y, z) = Ce-(0.5+0.2y+0.12) if a > 0, y > 0, z > 0, and f (x, y, z) = 0 otherwise. %3D a. Find the value of the constant C. b. Find P(X < 1, Y < 1). c. Find P (X<1, Y <1, Z < 1).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer +
52. Suppose X, Y, and Z are random variables with joint density function f (r, y, z) = Ce (0.5x+0.2y+0.12) if
0, y > 0, z0, and f (r, y, z) 0 otherwise.
a. Find the value of the constant C.
b. Find P(X < 1, Y < 1).
c. Find P (X < 1, Y<1, Z <1).
53 and 54 The average value of a function f (2, y, z) over a solid region E is defined to be
1.
fave=
(E)//
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