The second worksheet is the pdf of a random variable U, presented as a tabled probability distribution. This can be called a probability model of the random variable U in a population. Compute the population variance of the random variable U, given the probability model of it presented in the second worksheet.   u P(u) 0 0.3 1 0.1 2 0.1 3 0.1 4 0.05 5 0.05 6 0.05 7 0.05 8 0.05 9 0.05 10 0.05 11 0.05

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A: Z is a discrete random variable with the following probability distribution:

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A: Formula : Variance = E(X^2) - [E(X)]^2

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Q: 18) Find the variance for the given probability distribution. x | P(x) 0 0.19 1 0.33 2 0.31 3 0.09 4…

A: Step 1:Step 2: Step 3: Step 4:

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Q: Exercise 4. A discrete random variable X has the following probability distribution: 13 18 20 24 27…

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A: We know that, If X and Y are independent random variables.  Var(X+Y)= Var(X)+ Var(Y)

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A: Cov(X,Y)=E(XY)-E(X)E(Y)corr(X,Y)=Cov(X,Y)V(X)V(Y)

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Q: continuous random variables Z is known to have an Erlang (2,1.3) type PDF. what is the variance of Z

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Q: Let X be a random variable with p.d.f f(x): mode. x = 1,2,3, ... .Find the O 2,4 O 1.3 O 1,2 2,3

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