The joint occurrence probability of the moment capacity (M) and force (F) applied on a beam has a linear joint probability density function: f (M, F) = 3F for the interval of 0 sM s FS 1. a) Determine the marginal probability density functions of moment and force. b) Determine the expectations and variances of marginal moment and force distributions. c) Compute the covariance and correlation coefficient of moment and force. d) Comment on the degree of correlation of these random variables.

The joint occurrence probability of the moment capacity (M) and force (F) applied on a beam has a linear joint probability density function: f (M, F) = 3F for the interval of 0 sM s FS 1. a) Determine the marginal probability density functions of moment and force. b) Determine the expectations and variances of marginal moment and force distributions. c) Compute the covariance and correlation coefficient of moment and force. d) Comment on the degree of correlation of these random variables.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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