stud81

Let X,Y,Z be independent discrete random variables with E[X]=2, E[Y]=0, E[Z]=0, E[X^2]=20 E[Y^2]= E[Z^2]=16, and Var(X)=Var(Y)=Var(Z)=16. Let A=X(Y+Z) and B=XY. 1. Find E[B]. E[B]= ? 2. Find Var(B). Var(B)= ? 3. Find E[AB]. E[AB]= ?

With A,B,X defined as before, determine whether the following statements are true or false: 1. A and B are independent. (T/F) 2. A and B are conditionally independent, given X=0. (T/F) 3. A and B are conditionally independent, given X=1. (T/F)

Consider a group of n≥4 people, numbered from 1 to n. For each pair (i,j) with i≠j, person i and person j are friends, with probability p. Friendships are independent for different pairs. These n people are seated around a round table. For convenience, as...

I have posted 7 Probability questions and i am willing to pay $ for the solution.

I have posted 7 Probability questions and i am willing to pay $ for the solution.

I have posted 7 Probability questions and i am willing to pay $ for the solution.

I have posted 7 Probability questions and i am willing to pay $ for the solution.

I have posted 7 Probability questions and i am willing to pay $ for the solution.

Hi Anonymous, Can you share answers to any of the other questions ....?

1. The event Ac∩B∩C. Answer: (1-x)*y*z --Divine you right 2. At most two of the events A,B,C occurred. Answer: 1-(X*Y*Z) Please share answers to other questions as well.

1. 0 2. 320 3. 0 E[A*B] = E[A] * E[B] = E[X(Y+Z)] * E[X*Y] = (E[X*Y + Y*Z]) * E[X]*E[Y] = (E[X]*E[Y] + E[Y]*E[Z]) * E[X]*E[Y] since E[X]=2,E[Y]=0 = ((2 * 0) + (0 * 0) ) * 2*0 since E[Y]=0,E[Z]=0 E[AB] = 0