A box containing 5 red marbles and 2 blue marbles. Given a red has already being...
A box containing 5 red marbles and 2 blue marbles. Given a red has already being drawn what is the probability of drawing 2 red marbles in next 3 draws ?
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A box containing 5 red marbles and 2 blue marbles. Given a red
has already being...
If we were to have a box of marbles containing 2 red, 2 black, 2 blue,...
If we were to have a box of marbles containing 2 red, 2 black, 2 blue, and 2 yellow, and we drew out a marble, we would then have the choice of keeping the marble out or putting it back. Each choice affects the odds (probability) of subsequent draws differently. If we draw out a red marble and put it back, this is known as with replacement, and the odds of subsequent draws are the same is for the first...
A box of marbles has 5 red marbles, 2 green marbles, and 1 blue marble 5....
A box of marbles has 5 red marbles, 2 green marbles, and 1 blue
marble
5. A box of marbles has 5 red marbles, 2 green marbles, and 1 blue marble. (a) Find the probability of selecting 2 red marbles if the first selection is replaced before the next selection is made. (b) Find the probability of selection 2 red marbles if the first selection is not replaced before the next selection is made (c) Find the probability of selecting...
wo marbles are drawn at random and with replacement from a box containing 2 red, 3...
wo marbles are drawn at random and with replacement from a box containing 2 red, 3 green, and 4 blue marbles. Let's define the following events: A = {two red marbles are drawn} B = {two green marbles are drawn} C = {two blue marbles are drawn} D = two marbles of the same color are drawn} Find the probabilities of the following events: (a) P(A), P(B), P(C), and P(D). (b) P(A|D).
A box contains 10,000 marbles, of which some are red and the others blue. To estimate...
A box contains 10,000 marbles, of which some are red and the others blue. To estimate the percentage of red marbles in the box, 100 are drawn at random without replacement. Among the draws, 1 turns out to be red. The percentage of red marbles in the box is estimated as 1%, with an SE of 1%. True or false: a 95%-confidence interval for the percentage of red marbles in the box is 1% ± 2%. Explain.
Suppose that a box is known to contain 50 red and 25 blue marbles. Two marbles...
Suppose that a box is known to contain 50 red and 25 blue marbles. Two marbles are to be drawn in succession. The first marble is set aside and its color noted. It is not placed back into the box before the second marble is drawn. a. Sketch a probability tree which represents this situation. b. What is the probability that the second marble is red, if the first marble is red?
Problem 3. Consider a box with three blue and five red marbles. Suppose draws are made...
Problem 3. Consider a box with three blue and five red marbles. Suppose draws are made from the box with replacement until two red marbles are drawn. Let Y denote the number of draws required, and let X denote the number of draws it takes to obtain the first red marble. (1) Calculate P(X-s, Y t) for integers s and t, 1 3 (2) Use the above to find P(Y t). (3) Calculate P(X = sy-t) for 1 s <...
A bag has 8 red marbles, 6 green marbles, 4 blue marbles, and 2 yellow marbles....
A bag has 8 red marbles, 6 green marbles, 4 blue marbles, and 2 yellow marbles. We draw three marbles, one at a time, with replacement. What is the probability that all three draws will be blue? Write your answer as a simplified fraction.
A jar contains 9 red marbles, 7 green marbles, and 5 blue marbles. 34. If a...
A jar contains 9 red marbles, 7 green marbles, and 5 blue marbles. 34. If a single marble is drawn from the bag, what is the probability that it is red? (3 pts) 35. If three marbles are drawn without replacement, what is the probability that all three Subles are green? [4 pts) 36. I samarbles are drawn with replacement, what is the probability that at least 1 blue marble was selected. 5 pts
There are 3 green marbles and 5 blue marbles in a bag and 4 red marbles....
There are 3 green marbles and 5 blue marbles in a bag and 4 red marbles. Two marbles are drawn from the bag at random without replacement. Find the probability that both marbles are blue. Find the probability that the first is blue and the second green.
Two marbles are chosen without replacement from a box containing 5 green, 8 red, 5 yellow,...
Two marbles are chosen without replacement from a box containing 5 green, 8 red, 5 yellow, and 7 blue marbles. Let X be the number of red marbles chosen. a) Find and graph the probability distribution of X. b) Find E (x)
A box of marbles has 5 red marbles, 2 green marbles, and 1 blue
marble
5. A box of marbles has 5 red marbles, 2 green marbles, and 1 blue marble. (a) Find the probability of selecting 2 red marbles if the first selection is replaced before the next selection is made. (b) Find the probability of selection 2 red marbles if the first selection is not replaced before the next selection is made (c) Find the probability of selecting...
Problem 3. Consider a box with three blue and five red marbles. Suppose draws are made from the box with replacement until two red marbles are drawn. Let Y denote the number of draws required, and let X denote the number of draws it takes to obtain the first red marble. (1) Calculate P(X-s, Y t) for integers s and t, 1 3 (2) Use the above to find P(Y t). (3) Calculate P(X = sy-t) for 1 s <...
A jar contains 9 red marbles, 7 green marbles, and 5 blue marbles. 34. If a single marble is drawn from the bag, what is the probability that it is red? (3 pts) 35. If three marbles are drawn without replacement, what is the probability that all three Subles are green? [4 pts) 36. I samarbles are drawn with replacement, what is the probability that at least 1 blue marble was selected. 5 pts
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