stud81

Most popular questions and responses by stud81
1. Probability

Determine whether each of the following statements about events A,B,C is always true or not. 1. Suppose that A,B and C are independent events; then A^c (A complement) and B U C^c are independent. (T/F) 2. From now on, we do not assume that A,B,C are

2. Probability

Bob has two coins, A and B, in front of him. The probability of Heads at each toss is p=0.5 for coin A and q=0.9 for coin B. Bob chooses one of the two coins at random (both choices are equally likely). He then continues with 5 tosses of the chosen coin;

3. Probability

Let A,B,C be three events, and let X=IA, Y=IB, and Z=IC be the associated indicator random variables. We already know that X⋅Y is the indicator random variable of the event A∩B. In the same spirit, give an algebraic expression, involving X,Yand Z, for

4. Probability

Bob has two coins, A and B, in front of him. The probability of Heads at each toss is p=0.5 for coin A and q=0.9 for coin B. Bob chooses one of the two coins at random (both choices are equally likely). He then continues with 5 tosses of the chosen coin;

5. Probability

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]= ?

6. probability

A set of 60 different days is selected from a given year. assume that all sets of cardinality 60 are equally likely. Also, for simplicity, assume that the year has only 360 days, divided into twelve 30 day months evaluate the probability of the following

7. Probability

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,

8. Probability

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)

1. probablity

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

posted on October 7, 2018
2. Probability

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.

posted on October 7, 2018
3. Probability

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

posted on October 7, 2018
4. Probability

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

posted on October 6, 2018
5. Probability

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

posted on October 6, 2018
6. Probability

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

posted on October 6, 2018
7. Probability

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

posted on October 6, 2018
8. Probability

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

posted on October 6, 2018
9. Probability

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

posted on October 6, 2018