Question

In: Statistics and Probability

An urn contains 5 blue and 3 yellow beads. Find the probability of drawing (b, b,...

An urn contains 5 blue and 3 yellow beads. Find the probability of drawing (b, b, y, b, b) in that order.

1) with replacement

2) without replacement

Repeat for the states (b, b, b, b, b,) and (y, y, y, b, b, y).

Solutions

Expert Solution

I have uploaded the first page at the last again as earlier it was not uploaded in the proper dimension. Thank you

orchestra answered 1 year ago
Next > < Previous

Related Solutions

What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?
What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?
An urn contains 4 red, 5 blue, 2 yellow, and 9 green balls. A group of...
An urn contains 4 red, 5 blue, 2 yellow, and 9 green balls. A group of 5 balls is selected at random without replacement. What is the probability that the sample contains: a. atleast one of each color? b. at most 3 green balls?
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked...
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked to randomly pick 5 of them. Let X1 and X2 denote the blue and red gemstones respectively, find the following: E[X1|X2] E[3X12X2-X1X2] Are X1 and X2 independent? Let R be a region given by (X1+X2≤3) , determineP(X1,X2 ϵ R]
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked...
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked to randomly pick 5 of them. Let X1 and X2 denote the blue and red gemstones respectively, find the following: The joint probability mass function (PMF) of X1 and X2, i.e., pX1X2(x1,x2) Marginal PMFs of X1 and X2, i.e., pX1(x1) and pX2(x2) Determine the first order moments of both X1 and X2 E[X1|X2] E[3X12X2-X1X2] Are X1 and X2 independent?
An urn contains 5 blue marbles and 4 yellow marbles. One marble is​ removed, its color​...
An urn contains 5 blue marbles and 4 yellow marbles. One marble is​ removed, its color​ noted, and not replaced. A second marble is removed and its color is noted. ​(a) What is the probability that both marbles are blue? yellow​? ​(b) What is the probability that exactly one marble is blue​? A tree diagram has a root that splits into 2 branches labeled blue and yellow. Each primary branch splits into 2 secondary branches, labeled blue and yellow.yellowblueblueblueyellowyellow
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and 6 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and 6 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
An urn contains 5 red balls and 5 blue balls. ​(a) If 3 balls are selected...
An urn contains 5 red balls and 5 blue balls. ​(a) If 3 balls are selected all at​ once, what is the probability that 2 are blue and 1 is​ red? ​(b) If 3 balls are selected by pulling out a​ ball, noting its​ color, and putting it back in the urn before the next​ section, what is the probability that only the first and third balls drawn are​ blue? ​ (c) If 3 balls are selected one at a...
Conditional Probability Problem: An urn contains 5 red balls, 4 green balls, and 4 yellow balls...
Conditional Probability Problem: An urn contains 5 red balls, 4 green balls, and 4 yellow balls for a total of 13 balls. If 5 balls are randomly selected without replacement what is the probability of selecting at least two red balls given that at least one yellow ball is selected? a) 0.59 b) 0.61 c) 0.63 d) 0.65 e) 0.67
Consider an urn containing 3 red balls, 5 yellow balls, 7 blue balls, and 6 violet...
Consider an urn containing 3 red balls, 5 yellow balls, 7 blue balls, and 6 violet balls. If 4 balls are drawn at random, what is the probability of drawing one of each color? Suppose we draw 8 balls from the urn above. What is the conditional probability that 4 of them are blue with respect to the event that none of them are yellow?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT