The data for the joint probability mass function of X and Y (two different measurement systems) are given in the table below. a) Calculate the marginal distributions of X and Y and plot them. b)...

The data for the joint probability mass function of X and Y (two different measurement systems) are<br>given in the table below.<br>a) Calculate the marginal distributions of X and Y and plot them.<br>b) Select one of the Y values from the table and find the conditional probability mass function of X for that<br>Y value you have selected and plot it.<br>c) Show whether X and Y are independent or not.<br>d) Calculate the covariance of (X,Y) i.e. Cov(X,Y).<br>

Extracted text: The data for the joint probability mass function of X and Y (two different measurement systems) are given in the table below. a) Calculate the marginal distributions of X and Y and plot them. b) Select one of the Y values from the table and find the conditional probability mass function of X for that Y value you have selected and plot it. c) Show whether X and Y are independent or not. d) Calculate the covariance of (X,Y) i.e. Cov(X,Y).
Y f(x,у) 10 20 30 40 5 0.05 0.05 0.10 10 0.10 0.05 X 15 0.10 0.15 0.15 0.05 20 0.05 0.10 0.05

Y<br>f(x,у)<br>10<br>20<br>30<br>40<br>5<br>0.05<br>0.05<br>0.10<br>10<br>0.10<br>0.05<br>X<br>15<br>0.10<br>0.15<br>0.15<br>0.05<br>20<br>0.05<br>0.10<br>0.05<br>

Extracted text: Y f(x,у) 10 20 30 40 5 0.05 0.05 0.10 10 0.10 0.05 X 15 0.10 0.15 0.15 0.05 20 0.05 0.10 0.05

Jun 09, 2022

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The data for the joint probability mass function of X and Y (two different measurement systems) are given in the table below. a) Calculate the marginal distributions of X and Y and plot them. b)...

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