Question

In: Statistics and Probability

A bag contains two orange and six black balls. You take two balls from the bag,...

A bag contains two orange and six black balls. You take two balls from the bag, one by one, with replacement. How many orange balls do you expect to get?

Solutions

Expert Solution

P(orange ball) = 2 / (2 + 6) = 0.25

Expected value = 2 * 0.25 = 0.5 (ans)

                                                                                                                                                       


Related Solutions

An urn contains six white balls and four black balls. Two balls are randomly selected from...
An urn contains six white balls and four black balls. Two balls are randomly selected from the urn. Let X represent the number of black balls selected. (a) Identify the probability distribution of X. State the values of the parameters corresponding to this distribution. (b) Compute P(X = 0), P(X = 1), and P(X = 2). (c) Consider a game of chance where you randomly select two balls from the urn. You then win $2 for every black ball selected...
3. A box contains 5 red balls, 3 blue balls and 1 black balls. Take two...
3. A box contains 5 red balls, 3 blue balls and 1 black balls. Take two balls out randomly. Let X be number of red balls and Y be the number of black balls. (1) Find the joint distribution of (X, Y ). (2) Find P(X = 1|Y = 1).
Urn A contains four white balls and three black balls. Urn B contains six white balls...
Urn A contains four white balls and three black balls. Urn B contains six white balls and seven black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was white given that the second ball drawn was white? (Round your answer to three decimal places.) I can't seem to figure this out! Please help! Thank you!
A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with two additional balls of the same colour are returned to the bag
A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with two additional balls of the same colour are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red
Suppose that we have two bags each containing black and white balls. One bag contains two...
Suppose that we have two bags each containing black and white balls. One bag contains two times as many white balls as black balls. The other bag contains two times as many black balls as white. Suppose we choose one of these bags at random. For this bag we select five balls at random, replacing each ball after it has been selected. The result is that we find all balls are white balls. What is the probability that we were...
Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8 red balls...
Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8 red balls and 4 green balls. Bag 3 contains 5 red balls and 11 green balls. Bag 1 is chosen twice as often as either Bag 2 or Bag 3 (which have the same probability of being chosen). After a bag is chosen, a ball is chosen at random from that bag. Calculate the probability that: a) a red ball is chosen b) a red ball...
Suppose there are three balls in a bag. One ball is black and two others are...
Suppose there are three balls in a bag. One ball is black and two others are white. Three people, A, B and C, will pick a ball in this order. Instead of deciding the winner by the first black ball, the person who picks the black ball for the second time will be the winner. For example, if A picks the black ball for his first pick, A is not the winner. He just returns it to the bag. And...
A box contains three white balls, two black balls, and one red ball. Three balls are...
A box contains three white balls, two black balls, and one red ball. Three balls are drawn at random without replacement. Let Y1 be the number of white balls drawn, and Y2 the number of black balls drawn. Find the distribution of Z = Y1 × Y2
A bag contains four balls labelled 0,1,2 and 3. Two balls are chosen at random, one...
A bag contains four balls labelled 0,1,2 and 3. Two balls are chosen at random, one after the other and without replacement. Let X be the label on the first one and Y be the label on the second ball. 1. Find joint probability mass function of X and Y? 2. Calculate E(x), E(Y) , E(XY), and Cov (XY)? Please explain answer.
An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected...
An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected simultaneously. (a) What is the sample space? (b) Define an RV X as the number of orange balls selected. Show the map from the sample space to X. (c) Find the PMF of X. (d) Find the CDF of X. i have the solutions can one show how to find the probablity on 4c
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT