Question

In: Statistics and Probability

An urn has 8 red and 12 blue balls. Suppose that balls are chosen at random...

An urn has 8 red and 12 blue balls. Suppose that balls are chosen at random and removed from the
urn, with the process stopping when all the red balls have been removed. Let X be the number of balls
that have been removed when the process stops.
a. Find P(X = 14)
b. Find the probability that a specifed blue ball remains in the urn.
c. Find E[X]

Solutions

Expert Solution

hii... although I am trying to provide the detailed answer but if you have any doubt please ask by comment. your rating encourage us to provide the detailed and effective answers so please like the answer. thanks


Related Solutions

An urn contains colored balls;5 red balls, 8 green balls, and 10 blue balls. Suppose ...
An urn contains colored balls;5 red balls, 8 green balls, and 10 blue balls. Suppose  If the 3 balls are drawn one after another without replacement, what is the probability that the colors observed will be Red, Green, Blue in this order?  If the three balls are drawn simultaneously from the urn (without replacement), what is the probability that the selected balls will be all different?
An urn contains 6 red balls, 7 white balls, and 8 blue balls. a) If three...
An urn contains 6 red balls, 7 white balls, and 8 blue balls. a) If three balls are sampled without replacement, find probability that all are different colors b) If three balls are sampled with replacement, find the probability that are different colors. c) i n balls sampled with replacement, find probability that all are red. d) If nballs sampled with replacement, find the probability that all are the same color.
An urn contains 10 red and 12 blue balls. They are withdrawn one at a time...
An urn contains 10 red and 12 blue balls. They are withdrawn one at a time without replacement until a total of 4 red balls have been withdrawn. Find the probability that exactly 7 balls withdrawn/
An urn has 2 red, 5 white, and 4 blue balls in an urn and two...
An urn has 2 red, 5 white, and 4 blue balls in an urn and two are drawn one after another without replacement. What is the probability that the two balls are both red given that they are the same color?
3. An urn contains 12 red balls and 8 green balls. Six balls are drawn randomly...
3. An urn contains 12 red balls and 8 green balls. Six balls are drawn randomly with replacement a. Find the probability of drawing exactly two red balls? b. Find the probability of drawing at least one green ball? c. Find the probability of drawing exactly two green balls when the drawings are done without replacement?
There are 8 black balls and 6 red balls in an urn. If 4 balls are...
There are 8 black balls and 6 red balls in an urn. If 4 balls are drawn without replacement, what is the probability that at least 3 black balls are drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.
An urn contains 5 red balls and 5 blue balls. ​(a) If 3 balls are selected...
An urn contains 5 red balls and 5 blue balls. ​(a) If 3 balls are selected all at​ once, what is the probability that 2 are blue and 1 is​ red? ​(b) If 3 balls are selected by pulling out a​ ball, noting its​ color, and putting it back in the urn before the next​ section, what is the probability that only the first and third balls drawn are​ blue? ​ (c) If 3 balls are selected one at a...
An urn contains 5 red balls and 6 blue balls. A ball is drawn. If the...
An urn contains 5 red balls and 6 blue balls. A ball is drawn. If the ball is red, it is kept out of the urn and an additional blue ball is added to the urn. Then, a second ball is drawn from the urn. If the ball is blue, then it is put back in the urn and an additional blue ball is added to the urn. Then a second ball is drawn from the urn. If the second...
An urn contains 7 red and 10 blue balls. If 4 balls are to be randomly...
An urn contains 7 red and 10 blue balls. If 4 balls are to be randomly selected without replacement, what is the probability that the first 2 selected are red and the last 2 selected are blue? Explain each step ?
An urn contains 5 white and 8 red balls. Assume that white balls are numbered. Suppose...
An urn contains 5 white and 8 red balls. Assume that white balls are numbered. Suppose that 3 balls are chosen with replacement from that urn. Let Yi = 1 if if the ith white ball is selected and Yi = 0 otherwise, i = 1,2: Find the EXPECTED VALUE of Yi given that a) Y2 = 1; b) Y2 = 0.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT