Suppose that a box contains 40 red balls, 30 black balls, and 20 yellow balls. A...
An urn contains 3 red balls and 7 yellow balls. Suppose we select two balls from the urn without replacement. A. Referring to no replacement, find the probability that one ball is red and one ball is yellow B. Referring to no replacement, find the probability that the first ball is yellow or the second ball is yellow
An urn contains four red balls, two green balls, and three yellow balls. Three balls will be drawn from the urn, one at a time, at random. If the balls are drawn without replacement, what is the probability that the first is red, the second is green, and the third is yellow? If the balls are drawn with replacement, what is the probability the first is red, the second is green, and the third is yellow?
4. A bag contains 1 red, 3 green, and 5 yellow balls. A sample of four balls is picked. Let G be the number of green balls in the sample. Let Y be the number of yellow balls in the sample. Find the conditional probability mass function of G given Y 2 assuming the sample is picked with replacement
4. A bag contains 1 red, 3 green, and 5 yellow balls. A sample of four balls is picked. Let G be the number of green balls in the sample. Let Y be the number of yellow balls in the sample. Find the conditional probability mass function of G given Y = 2 assuming the sample is picked with replacement.
(5) A box contains 4 red and 6 white balls. If two balls are drawn at random without replacement, find the probability that one of the two is red (6) A box contains 4 red and 6 white balls. If two balls are drawn at random with replacement, find the probability that one of the two is red
A box contains 12 white and 8 black marbles. Two balls are drawn out randomly from the box without replacement. Let X denote the number of white balls drawn out. a. Construct the probability distribution of X. b. Find mean and variance of X using the following formula ? = E (X) = ∑ ? . ?(?) ? ?(?2) = ∑ ?2 . ?(?) ? ?2 = ???(?) = ?(?2) − (?)2
L. An un contains n red balls and n black balls. Balls are drawn sequentially from the urn one at a time withont replacement. Let the first black ball is chosen. Find EX X denote the number of red balls removed befor
An urn contains 12 blue, 6 yellow, and 9 black balls. Two balls are drawn at random. i. What is the probability that two black balls are drawn in succession when chosen without replacement? Give your answer correct to 3 decimal places. ii. What is the probability that two black balls are drawn in succession when chosen with replacement? Give your answer correct to 3 decimal places.
A box contains 6 red balls, 4 yellow balls, and 10 white balls. The experiment consists of taking three balls from the box, without replacement, and seeing how many of each color you took. What is the probability that exactly 1 balls will be white? Calculate your answer rounded to three decimal places.
An urn contains 10 red balls. 7 green balls and 4 yellow balls. At random, 5 balls are drawn (without replacement). What is the probability 3 of them are red?