Question

An urn has six balls, 3 are red, 2 are blue, and 1 is green. You...

An urn has six balls, 3 are red, 2 are blue, and 1 is green. You choose 2 at random, without replacement. Let X be the number of red balls drawn, and Y be the number of green balls drawn.

(A) Find the joint distribution of X and Y.

(B) Find the marginal distribution of X and Y.

(C) Find the conditional distribution of Y, given that X=1.

(D) E[X], E[Y], E[X2], E[Y2], E[XY], AND Cov(X,Y).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A bowl contains 5 blue, 4 red, and 3 green balls. Balls are drawn from it...
A bowl contains 5 blue, 4 red, and 3 green balls. Balls are drawn from it one at a time without replacement until 2 red balls are drawn. Let X = the number of blue balls that were drawn. Find E(X).
An urn contains five blue, six green and seven red balls. You choose five balls at...
An urn contains five blue, six green and seven red balls. You choose five balls at random from the urn, without replacement (so you do not put a ball back in the urn after you pick it), what is the probability that you chose at least one ball of each color?(Hint: Consider the events: B, G, and R, denoting respectively that there are no blue, no green and no red balls chosen.)
Urn A contains 5 green and 3 red balls, and Urn B contains 2 green and...
Urn A contains 5 green and 3 red balls, and Urn B contains 2 green and 6 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
2. Urn A contains 6 green and 4 red balls, and Urn B contains 3 green...
2. Urn A contains 6 green and 4 red balls, and Urn B contains 3 green and 7 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
Two balls are drawn in succession without replacement from a bag containing 2 red balls, 1...
Two balls are drawn in succession without replacement from a bag containing 2 red balls, 1 green balls and 3 green balls. Let X and Y denote the number of red and green balls respectively. Find a) f(x,y) the expression for the joint p.d.f of X and Y [5 Marks] b) f(x) the expression for the marginal pdf of X [5 Marks] c) f(y) the expression for the marginal pdf of Y [5 Marks] d) f(y/x), the expression for the...
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and 6 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
Urn A contains 6 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 6 green and 4 red balls, and Urn B contains 3 green and 7 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
An urn contains 10 balls, 2 red, 5 blue, and 3 green balls. Take out 3...
An urn contains 10 balls, 2 red, 5 blue, and 3 green balls. Take out 3 balls at a random, without replacement. You win $2 for each green ball you select and lose $3 for each red ball you select. Let the random variable X denote the amount you win, determine the probability mass function of X.
Urn A contains two red balls and eight blue balls. Urn B contains two red balls...
Urn A contains two red balls and eight blue balls. Urn B contains two red balls and ten green balls. Six balls are drawn from urn A and four are drawn from urn B; in each case, each ball is replaced before the next one is drawn. What is the most likely number of blue balls to be drawn? What is the most likely number of green balls to be drawn?
Moments and Function Generator of Moments An urn contains 4 red balls, 3 blue, 2 green...
Moments and Function Generator of Moments An urn contains 4 red balls, 3 blue, 2 green and one yellow. Three balls are obtained from this sample (without replacement). Let X be the random variable that represents the number of red balls that are extracted. a) Find the probability function of the random variable X b) Find the first moment of the random variable c) Find the second moment of the random variable d) Find the third moment of the random...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT