Homework Answers
a) ... No X not have binomial distribution...because in binomial distribution , probability is always same in any no of time event occur..but here replacement not allow ...so probability change each time...therefore this not follow binomial distribution ...
b) ..
No , Y not follow geometric distribution ...reason is same...
In geometric distribution , probability of success in each trial same...but here taking marble in each trial have different success probability ...
Any doubt or confusion in this then comment below.. i will explain you...
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5. There are 7 red marbles and 3 blue ones in a jar. We randomly take...
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
Suppose a jar contains 7 red marbles and 32 blue marbles. If you reach in the...
Suppose a jar contains 7 red marbles and 32 blue marbles. If you reach in the jar and pull out one marble at random, do not replace the marble, and reach in the jar to pull out a second marble. Find the probability that both are red. Write your answer as a reduced fraction
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...
There is a box of 20 marbles. Of these marbles, 6 are red, 8 are green...
There is a box of 20 marbles. Of these marbles, 6 are red, 8 are green and 6 are blue. 6 marbles are randomly selected from the box without replacement. Let X be the number of marbles that are red or blue, and let Y be the number of marbles that are blue. a. What is the probability the first and second marbles are red, the third and fourth are blue and the fifth and sixth are green? b. What...
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles and 9 blue marbles....
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles
and 9 blue marbles. You draw three marbles out of the bag without
replacement.
(a) What is the probability that you got a red, blue, and red
marble in that order? Hint: use the multiplication rule to get the
size of the sample space (and size of the event set) as if the
marbles were distinguishable.
(b) What is the probability of not getting any blue marbles?
(c)...
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 <...
Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue, 2 are green,...
Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue, 2 are green, and 2 are yellow. The marbles are rolling around in a drawer, so that all possibilities are equally likely when they are drawn. Alice chooses 2 marbles without replacement, and then Bob also chooses 2 marbles without replacement. Let Y denote the number of red marbles that Alice gets, and let X denote the number of red marbles that Bob gets. a. Find the...
4. A jar contains 6 red, 5 green, 4 blue, and 2 yellow marbles. Four marbles...
4. A jar contains 6 red, 5 green, 4 blue, and 2 yellow marbles. Four marbles are selected without replacement. Determine the probability of the following: DO NOT REDUCE a) One marble of each color is selected. b) The first three marbles are blue and the last marble is yellow. c) All the marbles are blue d) The first two marbles are red and the last two marbles are purple. 5. HORIZON, a national TV provider, reports that today's typical...
You have a jar of 50 colored marbles. The distribution of marbles by color is shown...
You have a jar of 50 colored marbles. The distribution of marbles by color is shown in the table below. You take one marble out at random. What is the probability that the marble is not blue? Do not round your answer. Write your answer in decimal form, not as a fraction or percent. red, yellow, green, blue= 42%, 16%, 10%, 32%
In a box, there are 400 blue marbles and 100 red marbles. When 200 marbles are...
In a box, there are 400 blue marbles and 100 red marbles. When 200 marbles are randomly chosen from the box, let the random variable X represent the number of chosen blue marbles. (a) [10 points) Find P(X > 102). [You may leave the answer in terms of "combinations” or “factorials”.) (b) [10 points) Find P(X = 160) using binomial approximation.
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
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles
and 9 blue marbles. You draw three marbles out of the bag without
replacement.
(a) What is the probability that you got a red, blue, and red
marble in that order? Hint: use the multiplication rule to get the
size of the sample space (and size of the event set) as if the
marbles were distinguishable.
(b) What is the probability of not getting any blue marbles?
(c)...
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 <...
4. A jar contains 6 red, 5 green, 4 blue, and 2 yellow marbles. Four marbles are selected without replacement. Determine the probability of the following: DO NOT REDUCE a) One marble of each color is selected. b) The first three marbles are blue and the last marble is yellow. c) All the marbles are blue d) The first two marbles are red and the last two marbles are purple. 5. HORIZON, a national TV provider, reports that today's typical...
In a box, there are 400 blue marbles and 100 red marbles. When 200 marbles are randomly chosen from the box, let the random variable X represent the number of chosen blue marbles. (a) [10 points) Find P(X > 102). [You may leave the answer in terms of "combinations” or “factorials”.) (b) [10 points) Find P(X = 160) using binomial approximation.
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