Suppose there are two bins labeled A and B. Bin A contains 3 blue and 9 red balls, and bin B contains 4 blue and 4 red balls. Suppose I pick a bin uniformly at random and then draw a ball uniformly at random from that bin. (a) What is the probability that I picked bin A given that I drew a red ball? (b) What is the probability that I picked bin A given that I drew a blue ball?

Q: Suppose that colored balls are distributed in three indistinguishable boxes as follow: A box is…

A: Given,     BOX       1 2 3 Totals Red 2 4 3 9 Green 3 2 4 9 Yellow 2 5 3 10 Totals 7 11…

Q: Box A has three red balls and two white balls. Box B has one red ball and two white balls.  Suppose…

A: Given that  Box A has three red balls and two white balls. box B has one red and two white balls.…

Q: Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue,…

A:

Q: 0.25   0.55   0.45   0.89

A: Given, Let O = Overweight H = Hypertension PO∩H=0.09 P(H∩OC) = 0.11 P(O∩HC) = 0.02 P(OC∩HC) = 0.78

Q: If a letter is chosen at random from the English alphabet, find the probability that the letter (a)…

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Q: Suppose box 1 contains a white balls and b black balls, and box 2 contains c white balls and d black…

A: Let us define some events A : transferred ball is white. B : transferred balk is black. E : ball…

Q: The probability that it came from subcontractor B, is

A: Here use Bayes rule

Q: A bag 'A' contains 2 white and 3 red balls and a bag 'B' contains 4 white and 5 red balls. One ball…

A: We have to find given probability.

Q: Suppose a jar contains 20 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: General formula of probability is,  Probability =Number of favorable outcomes Total outcomes…

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

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Q: Suppose that the reliability of a test for hepatitis is specified as follows: of people sick with…

A:

Q: Suppose that 10% of a certain batch of calculators have a defective case, and that 12% have…

A: Here we will use addition theorem of probability  P(A∪B)=P(A)+P(B)-P(A∩B) A∪B  denotes A or B ( At…

Q: A ball is chosen at random out of a bowl containing 3 red balls, 2 green balls, and 1 blue ball and…

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

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Q: Suppose that 60% of the employees at a company are male and of those 30% received merit raises.…

A: Given, In a compony, there are 60% male and 40% female. Out of those 30% males and 20% females are…

Q: Assume that each bag contains 5 balls. Bag a contains 2 red and 3 white, while bag b contains 1 red,…

A: (1) There are five balls in each bag A and B Bag A contains two red and three white balls. Bag B…

Q: If a letter is chosen at random from the English alphabet, find the probability that the letter (a)…

A:

Q: If a string, 1 m long, is cut into 2 pieces at a random point along its length, what is the…

A:

Q: For this problem, assume that there are 6 men and 4 women on the committee, and that a subcommittee…

A: If there are all the same sex then there can be two outcomes: 1) All the men: We can select 3 men…

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Q: Box A has 4 green marbles and 5 red marbles. Box B has 3 green marbles and 2 red marbles. A marble…

A: Given,BOX A:no.of green marbles=4no.of red marbles=5total no.of marbles=9BOX B:no.of green…

Q: What is the probability that the numbers 11, 4, 17, 39, and 23 are drawn in that order from a bin…

A: We have to find the probability for without replacement and with replacement.

Q: One of two urns is chosen at random with one just as likely to be chosen as the other. Then a ball…

A:

Q: Suppose there are two bins labeled A and B. Bin A contains 3 blue and 9 red balls, and bin B…

A: Bin A : 3 blue and 9 red ball  Bin B : 4 blue and 4 red ball

Q: If one of these individuals is selected at random, the probability that the person is a heavy smoker…

A: Given:   Non Smoker Moderate smokers Heavy smoker Total Hypertensive 21 36 30 87 Not…

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A:

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given: p=0.5 (as they are equally likely to win a game as not to win) n=4   Let X~B(n,p)

Q: Suppose that you have a barrel with 7 apples and 8 oranges in it. If 2 fruits are selected, what is…

A: use formula : nCr=n!/(r!*(n-r)!)

Q: The same two pieces, X and Y, are generated by Machines A, B, and C. Machine A produces 60%, Machine…

A: Machines(A, B AND C) A=60% Parts B=30% parts C=10% parts P(x|A) =40% P(x|B)=50% P(x|C) =70% We have…

Q: ) Suppose that 1% of all children have tuberculosis (TB). When a child who has TB is given the…

A: Given , The 1% of all children have tuberculosis (TB) i.e. P(TB) = 1% = 0.01 and P( does not have…

Q: Find the probability that one person selected at random from these 300 persons is a faculty member…

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Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A: Solution-: We have, number of black balls =4. Number of red balls =5, Number of green balls =6 Total…

Q: Find the probability that one person selected at random from these 200 persons is student or is…

A: we have given table   Favor Oppose Neutral Total Faculty 23 19 15 57 Students 47 71 25 143…

Q: Suppose that colored balls are distributed in three indistinguishable boxes as follow: A box is…

A: Given,     BOX       1 2 3 TOTALS Red 2 4 3 9 Green 3 2 4 9 white 2 5 3 10 TOTALS 7 11…

Q: If one of these individuals is selected at random, find the probability that the (a) experiencing…

A: The data is given by   Nonsmoker Moderate Heavy Total H 21 36 30 87 NH 48 26 19 93 Total 69…

Q: Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a…

A:

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: For the given data Find p ( urn 2 / white ) =?

Q: Suppose that the population of a certain city is 40% males and 60% females. Suppose also that 50% of…

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Q: It has been shown that the probability of a plane arriving on time at the Albany International…

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport…

Q: Suppose you have a large bucket of fruit candy, where 1% is orange flavor, 13% is mango flavor, 9%…

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Q: Suppose that a laboratory test on a blood sample yields one of two results, positive or negative. It…

A: P(D) = probability of disease= 0.01 P(not disease) = probability of not disease= 0.99…

Q: (a) The probability that two randomly selected 1-year-old male chipmunks will live to be 2 years old…

A: here use binomial distribution Each trial is independent Finite number of trial There are two…

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

A:

Q: Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time…

A: Given that, P(On time| A) =0.80 P(On time| B) =0.85 P(On time| C) =0.90 Airline A has twice as many…

Q: For this problem, assume that there are 5 men and 8 women on the committee, and that a subcommittee…

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Q: One of two urns is chosen at random with one just as likely to be chosen as the other. Then a ball…

A: According to the given information, Purn 1=12 Purn 2=12   Pwhite ball / urn 1=38 Pred ball / urn…

Q: Suppose that 62% of the employees at a company are male and that 35% of the employees just received…

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Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Q: Suppose that there is a white urn containing two white balls and three red balls and there is a red…

A: Given that white urn contains 2 white balls and 3 red balls and red urn contains 1 white ball and 2…

Q: A committee of 4 is to be selected by lot from a group of 6 men and 4 women. What is the probability…

A: