3-3.2 Two rv X and Y are independent, if f(x) = 0.5e-, and f(y) = 0.5el-1 (no range for both),find P(XY > 0). Also, construct the correlation and the covariance matrices.b) If X and Y are independent Gaussian rvs with zero mean for both and the variances of 16and 36 respectively, find P(XY<0).

Solution: As per the guidelines answering one question if the multiple questions are asked. In case…

Answered: b) If X and Y are independent Gaussian…

b) If X and Y are independent Gaussian rvs with zero mean for both and the variances of 16 and 36 respectively, find P(XY<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.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 3E: For the following table of data. x 1 2 3 4 5 6 7 8 9 10 y 0 0.5 1 2 2.5 3 3 4 4.5 5 a. draw a...

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Question

3-3.2 Two rv X and Y are independent, if f(x) = 0.5e-, and f(y) = 0.5el-1 (no range for both),
find P(XY > 0). Also, construct the correlation and the covariance matrices.
b) If X and Y are independent Gaussian rvs with zero mean for both and the variances of 16
and 36 respectively, find P(XY<0).

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