4. There are 1 white and 2 black balls in urn A, and 100 white and...
Consider 2 urns. Urn 1 has 2 White Balls and 1 Black Ball. Urn 2 has 1 White Ball and 2 Black Balls. Suppose that one ball is randomly drawn from Urn 1 and put into Urn 2. Then balls are selected one at a time without replacement from Urn 2 until a White Ball is obtained. Let Y be the number of balls drawn from Urn 2 until a white ball is drawn. Find the pdf of Y and...
Urn "A" contains 5 white balls and 4 black balls, whereas urn B contains 3 white balls and 5 black balls. A ball is drawn at random from urn "B" and placed in urn "A". A ball is then drawn from urn "A". It happens to be black. What is the probability that the ball transferred was black?
Urn I contains 5 white balls and 5 black balls. Urn II contains 7 white balls and 3 black balls. Under which of the following plans is the probability of getting two white balls the greatest? (a) Draw one ball from each urn. (b) Draw two balls from Urn I. (c) Put all 20 balls in one urn and then draw two.
2(15)(a) An urn contains 4 white and 4 black balls. We randomly choose 4 balls. If 2 of them are white and 2 are black, we stop. If not, we replace the balls in the urn and again randomly select 4 balls. This continues until exactly 2 of the 4 chosen are white. What is the probability that we shall maken selections? (b)Compute E[x2] for a Poisson random variable X.
Two balls are chosen from an urn without replacement. 3 are black and 4 are white. Find a) the probability that both of the balls are the same color b) given that at least one of the balls is white, what is probability that the other ball is white?
There are 9 white and 1 black ball in an urn. 3 balls are chosen randomly without replacement. What is the probability of all three being white?
Urn A contains seven white balls and four black balls. Urn B contains six white balls and three 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 black given that the second ball drawn was black? (Round your answer to three decimal places.)
Urn A contains four white balls and six black balls. Urn B contains three 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 black given that the second ball drawn was black? (Round your answer to three decimal places.) n transferred to Urn A contains four white halls and six hlack balls. Urn...
An urn “A' contains 2 white and 4 black balls. Another urn ®contains 5 white and 7 black ball. A ball is transferred from the urn $A)to urn B'. Then a ball is drawn from urn B'. Find the probability, thatit will be white.
An urn has 3 red balls, 4 white balls and 2 black balls. Each red ball is worth $2 and and each black ball is worth −$3 (note the negative sign). White balls have no value. You draw four balls at random from the urn. (a) What is the size of the sample space? (b) What is the probability that the total value of the four balls is $3?