Question

An urn contains 10 chips, of which 5 are blue and 5 are red. Randomly select...

An urn contains 10 chips, of which 5 are blue and 5 are red. Randomly select 5 chips, one at a time without replacement. Let X be the absolute difference between the numbers of blue and red chips that have been selected.

a) Find the pmf of X. Show your work.

b) What value of X is most likely?

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
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 1 contains 8 red and 6 Blue marbles and Urn 2 contains 5 red marbles...
Urn 1 contains 8 red and 6 Blue marbles and Urn 2 contains 5 red marbles and 4 blue marbles. A marble is randomly selected from Urn 1 and Placed in Urn 2. A marble is then drawn from Urn 2 a. What is the probability that the marble drawn from Urn 2 is red? b. What is the conditional probability that the ball drawn from Urn 1 is red, given that a blue marble is drawn from Urn 2?
A box contains 5 blue, 10 green, and 5 red chips. We draw 4 chips at...
A box contains 5 blue, 10 green, and 5 red chips. We draw 4 chips at random and without replacement. If exactly one of them is blue, what is the probability mass function of the number of green balls drawn?
1.) An urn contains 10 red marbles, 5 white marbles, and 8 blue marbles marbles. A...
1.) An urn contains 10 red marbles, 5 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. Find the probability all three marbles are the same color.    Find the probability that none of the three marbles are white. 2.)Calculate the standard deviation and variance of the sample quantitative data shown, to two decimal places. x 2.6 6 16.7 20.3 9.1 Standard deviation: Variance:
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?
An urn contains ten marbles, of which 4 are green, 3 are blue, and 3 are...
An urn contains ten marbles, of which 4 are green, 3 are blue, and 3 are red. Three marbles are to be drawn from the urn, one at a time without replacement. (a) Let ?? be the event that the ?th marble drawn is green. Find ?(?1 ∩ ?2 ∩ ?3), which is the probability that all three marbles drawn are green. Hint: Use the Multiplicative Law of Probability (b) Now let ?? be the random variable defined to be...
An urn contains 4 red balls and 3 green balls. Two balls are sampled randomly. Let...
An urn contains 4 red balls and 3 green balls. Two balls are sampled randomly. Let Z denote the number of green balls in the sample when the draws are done without replacement. Give the possible value of Z and its probability mass function (PMF).
An urn contains 1000 balls, 825 of which are blue and the rest are red. I...
An urn contains 1000 balls, 825 of which are blue and the rest are red. I sample 100 balls. What is the probability that I pick exactly 80 blue balls in my sample, if: (a) I sample without replacement? (For you to check your work, the anwer is approximately 0.0834325). (b) I sample with replacement? (This time, the answer is approximately 0.0805802). (c) Can you explain why your number in part a is bigger than your number in part b?
(a) A urn contains one red marble, one green marble and one blue marble. An experiment...
(a) A urn contains one red marble, one green marble and one blue marble. An experiment consists of taking one marble from the urn, then returning it and drawing a second marble. What is the probability that exactly one red marble is selected? (b) What is the probability that exactly one red marble is selected if the experiment is without replacement (marble is not returned)?
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).