Box 1 contains a red balls and b white balls. Box 2 contains c red balls...
Box 1 contains a red balls and b white balls. Box 2 contains c red balls and d white balls. One ball is randomly drawn from Box 1 and put into Box 2, and then one ball is randomly drawn from Box 2 and put back in Box 1. Finally, one ball is drawn at random again from Box 2. Let X denote the number of red balls drawn from Box 2 the 2nd time. Write down the distribution of X, and compute E(x) and Var(x).
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Box 1 contains a red balls and b white balls. Box 2 contains c
red balls...
5) Box 1 contains w white balls and b black balls. Box 2 contains w white...
5) Box 1 contains w white balls and b black balls. Box 2 contains w white balls and b black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black 6) Assume that we have n boxes and each one of them contains k white balls...
2. A box contains 4 white and 6 black balls. A random sample of size 4...
2. A box contains 4 white and 6 black balls. A random sample of size 4 is chosen. Let X denote the number of white balls in the sample. An additional ball is now selected from the remaining 6 balls in the box. Let Y equal 1 if this ball is white and 0 if it is black. Find (a) Var(Y|X=0). (b) Var(X)Y= 1).
5) Box 1 contains w white balls and b black balls. Box 2 contais white balls...
5) Box 1 contains w white balls and b black balls. Box 2 contais white balls and b2 black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black.
5) Box 1 contains wi white balls and bi black balls. Box 2 contains w2 white...
5) Box 1 contains wi white balls and bi black balls. Box 2 contains w2 white balls and b2 black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black.
Problems 9 and 10 A box contains 2 red balls, 3 white and 1 blue balls....
Problems 9 and 10 A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that at most one ballis red. (C) 00.2 01 O 0.6 0.12 0.8 Question 10 2 pts A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that {at most one ball is red (C) given that at least one...
2. A box contains 5 red balls, 7 white balls, and 8 black balls. Four balls...
2. A box contains 5 red balls, 7 white balls, and 8 black balls. Four balls are randomly chosen (without replace- ment). What is the probability that (a) 1 red ball, 2 white balls, and 1 black ball are chosen? (b) exactly two red balls are chosen? (c) the first chosen is black, the last three chosen are two white balls and one black ball?
(5) A box contains 4 red and 6 white balls. If two balls are drawn at...
(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
Consider 3 urns. The urn A contains 5 white balls and 10 red balls, the urn...
Consider 3 urns. The urn A contains 5 white balls and 10 red balls, the urn B contains 9 white balls and 6 red balls and the urn C contains 4 white balls and 9 red balls. A ball is selected from ballot box 1 and placed in ballot box 2, then one ball is taken from ballot box 2 and placed in ballot box 3. Finally, a ball is taken from ballot box 3. What is the probability that...
A box contains 12 white and 8 black marbles. Two balls are drawn out randomly from...
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
A ball is drawn at random from a box containing 8 red balls, 2 white balls...
A ball is drawn at random from a box containing 8 red balls, 2 white balls and 9 blue balls Determine the probability that the ball drawn is Red White Blue Not red Red or white
5) Box 1 contains w white balls and b black balls. Box 2 contains w white balls and b black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black 6) Assume that we have n boxes and each one of them contains k white balls...
2. A box contains 4 white and 6 black balls. A random sample of size 4 is chosen. Let X denote the number of white balls in the sample. An additional ball is now selected from the remaining 6 balls in the box. Let Y equal 1 if this ball is white and 0 if it is black. Find (a) Var(Y|X=0). (b) Var(X)Y= 1).
5) Box 1 contains w white balls and b black balls. Box 2 contais white balls and b2 black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black.
5) Box 1 contains wi white balls and bi black balls. Box 2 contains w2 white balls and b2 black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black.
Problems 9 and 10 A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that at most one ballis red. (C) 00.2 01 O 0.6 0.12 0.8 Question 10 2 pts A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that {at most one ball is red (C) given that at least one...
2. A box contains 5 red balls, 7 white balls, and 8 black balls. Four balls are randomly chosen (without replace- ment). What is the probability that (a) 1 red ball, 2 white balls, and 1 black ball are chosen? (b) exactly two red balls are chosen? (c) the first chosen is black, the last three chosen are two white balls and one black ball?
(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
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