A discrete random variable Y has the following probability distribution.   Y=y 1 2 3 4 5 P(Y=y) 1/8 1/4 1/3 k 1/8 where k is a constant.   a) Find the value of k and find P(Y≤4) and also find P(Y>3).

Q: P(x, y) 1 0.010 0.015 0.025 1. 0.020 0.030 0.050 0.050 0.075 0.125 3 0.060 0.090 0.150 4 0.040 0.060…

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A: Let X = the number of parts out of the tolerance bounds from first shift and Y = the number of parts…

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A: Given b=0.15 c=0.14

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Q: (a) Find E(5X - 9Y). E(5X – 9Y) =D (Type an integer or a (b) Find E(XY). E(XY) = int

A: Since , the joint probability distribution of  X and Y is given. Our aim is to find the  (a)…

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Q: A discrete random variable X has the following probability distribution: x 1 2 3 4 P(X=x 2k 3k 4k…

A: Given: The value of x and P(X=x)

Q: Q4. The following table shows the probability mass function for the discrete random variable X: k 2…

A:

Q: Please show work. X and Y are two discrete random variables having the joint probability…

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

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3…

A: P(X≤-1, Y=3)=? P(X>3)=? P(X=-4)=?

Q: A random variable X has the following probability distribution X 0 1 2 Y(X=3) 3K 2K 21 3 K 4K Then…

A: X0123P(X=x)3K2KK4K

Q: A probability function for a discrete random variable, Y, is shown below.     y P(Y=y) 4 0.4…

A: