Below you will find the joint probability distribution to the random variables X and Y. - 1 - 2 0,20 0,20 -1 0,00 0,10 0,10 0,10 Y 1 0,00 0,00 0,30 a) Find the marginal distribution to X. b) Find the...


Below you will find the joint probability distribution to the random variables X and Y.<br>- 1<br>- 2<br>0,20<br>0,20<br>-1<br>0,00<br>0,10<br>0,10<br>0,10<br>Y<br>1<br>0,00<br>0,00<br>0,30<br>a) Find the marginal distribution to X.<br>b) Find the expected value and standard deviation to X.<br>c) Find the marginal distribution to Y.<br>d) Find the expected value and standard deviation to Y.<br>e) Are X and Y independent random variables?<br>f) Find the covariance between X and Y.<br>g) Find coefficient of correlation between X and Y.<br>h) Find the probability distribution to W = X²Y².<br>

Extracted text: Below you will find the joint probability distribution to the random variables X and Y. - 1 - 2 0,20 0,20 -1 0,00 0,10 0,10 0,10 Y 1 0,00 0,00 0,30 a) Find the marginal distribution to X. b) Find the expected value and standard deviation to X. c) Find the marginal distribution to Y. d) Find the expected value and standard deviation to Y. e) Are X and Y independent random variables? f) Find the covariance between X and Y. g) Find coefficient of correlation between X and Y. h) Find the probability distribution to W = X²Y².

Jun 08, 2022
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