The joint pmf of X and Y are given in the table below: Y X 2 4 2 1 15 15 3 15 3 15 15 23

Q: f(x) = Ve

A:

Q: Find the specific antiderivative using the given information:

A: For finding the antiderivative of a derivative function, we have to integrate the derivative.Given…

Q: Calculate E(X)

A:

Q: f(x)=7x8−8x+3 Find the derivative of each of the given functions.

A: The sum rule of the differentiation states that, ddxf+g=ddxf+ddxg the power rule of the…

Q: 4. Suppose the joint PDF of two random variables X and Yare given below. |(ry² +x²y), if 0 < 1<1, 0…

A: 4. Suppose the joint PDF of two random variables X and Y are given below fX,Yx,y=cxy2+x2y,    if…

Q: QUESTION 2 Consider the following information about 3 random variables, X, Y and Z. X|Y-Gamma(2 Y2,…

A: Given: X/Y ~ Gamma(2Y2, Y) Y~ N(2, 5)   E(X/Y)=2Y2Y=2Y

Q: Find the inverses of y=(1-e-x)/(1+e-x).

A:

Q: f(X) 8. 6 4 2 X -8

A: The transformation of a function states that if f(x) is transformed as f(x+h) then graph of the…

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Suppose that X takes on one of the values 0,1,2. If for some constant c, P(X i) = cP(X =i – 1), for…

A: Given Suppose that X takes on one of the values 0, 1,2. If for some constant c, P(X i) = cP(X = i −…

Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

Q: Compute P(X) using the binomial probability formula. Then determine whether the normal distribution…

A: Given: n = 42 p = 0.6 q = 1-p = 1-0.6 = 0.4 q = 0.4 Formula Used: Probability mass function of…

Q: If h(x)=6ex−5, find h′(x).

A:

Q: f(x)=xnex

A: f(x)=xn exThe doamin of the function is when n is even and odd is x∈ℝand the range of the function…

Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x