Example 3: A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and it is found to be red. Eind the probability that the red ball drawn is from bag B.

Q: In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of…

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Q: a. If a piece of produce is purchased, what is the probability that it is superior grade? b. If a…

A: Given: PS|X=12%P(S|Y)=8%P(S|Z)=15%P(X)=20%P(Y)=45%P(Z)=35% To find: a) PS b) PX|S

Q: Example 5.5 If 20% of the bolts produced by a machine are defective, determine the probability that…

A: Let us denote X=the number of defective boltsn=number of trials=4p=probability of success=20%=0.20X…

Q: Forty percent of a company’s total output consists of baseballs, 30% consists of softballs, and 10%…

A: (a) There is forty percent of the company’s total output that consists of baseballs. There is ten…

Q: Example 2.4.7 Suppose the probability of a new-born baby being a boy is 0.51. In a family of 8…

A: Answer: Using the given data, We have

Q: Question 6 A bag contains 4 red, black and 6 blue balls. what is the probability that two balls…

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Q: When treated with an antibiotic 91% of all the dolphins are cured of an ear infection . If 6…

A: Given  With an antibiotic 91% of all the dolphins are cured of an ear infection.

Q: What is the probability that a randomly selected person from this city owns a pager, given that the…

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Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

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Q: Example 29. Determine the probability of throwing (a) Three (b) an even number (c) multiple of 3…

A: Answer:

Q: Example 19: A box has 6 red balls and 4 black balls, if two balls has bęen dráwn Cophelj しい one by…

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Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: The game is at Deuce. Now, the probability of scoring a point = θ.

Q: Suppose that there are four companies competing for five different government contracts. If the…

A: Introduction:The probability of an event in an experiment is the number of outcomes favorable to the…

Q: Find the probability that it is a. an queen of diamonds, b. a nine of clubs or a five of spades,

A: here total cards are 52 here drawing nine of clubs or five of spades are mutually exclusive events…

Q: Question 2 A bag has 10 blue balls and 5 red balls. 2 balls are to be drawn successively and without…

A: Given: Number of blue balls=10Number of red balls=5Number of balls drawn=2 (Without replacement)

Q: Example 2. If an ordinary coin is spinned three times what is the probability of obtaining atleast…

A: In a fair coin, there are two possible outcomes Head and Tail PHead = 12PTail = 12

Q: Example 5.1.3 A jury of 12 members is drawn at random from a vcters' list of 1000 persons out of…

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Q: In a group of 25 boys, 20 play basketball and 17 play baseball. They all play at least one of the…

A: Let, A=basketball B=baseball Given that: n(A)=20 n(B)=17 n(A or B)=25 So, n(A and B)=n(A)+n(B) - n(A…

Q: Q: If 5% of the people are carriers of a certain disease and 10% of them are young, what is the…

A: Given: % of people that are carriers = 5% % of people that are young = 10%

Q: card is drawn from a deck of bridge cards, so the probability of choosing a Diamond card or an Ace…

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Q: A, B played eight tennis games and the results were: A won three games, B won four games, and were…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: 1. You roll a D8 and then a D3. What is the probability that the two rolls match?

A: D8 : 8 sided dice D3 : 3 sided dice

Q: Example 39. The first twelve letters of the alphabet are written down at random. What is the…

A:

Q: Question 3: A jar contains 20 marbles, of which 4 are Red, 12 are Black, 3 are Green, and 1 is…

A: It is given that A jar contains 20 marbles, of which 4 are Red, 12 are Black, 3 are Green, and 1 is…

Q: In a certain Algebra 2 class of 25 students, 6 of them play basketball and 12 of them play baseball.…

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Q: Presumably, each student writing this examination is doing so independently of all other students.…

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Q: In a class, 40% of the students play basketball, 20% of the students play football and 10% of the…

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Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: The following information has been provided: The probability of success is p=0.33. The total number…

Q: At a certain college, there were 600 science majors, 200 engineering majors, and 400 business…

A: It is given that the number of science majors is 600, the number of engineering majors is 200 and…

Q: E, A jar contains 20 red marbles and 10 blue marbles. If you take a random sample of n = 3 marbles…

A: From the provided information, A jar contains 20 red marbles and 10 blue marbles. Total marbles = 20…

Q: Example 5.1.6 One hundred litres of water have been polluted with 10 bacteria. If a sample of 1 cc…

A:

Q: Example 2.24 In a city, suppose that only 60% of the people read a newspaper. What is the…

A: Let X be the number of reading the news paper  p be the probability of the people reading a news…

Q: An Elementary school club has 6 boys and 8 girls. If a committee of 5 officers is selected, find the…

A: Total number of committees possible=C145=2002 PExactly 3 girls=No of committees containg exactly 3…

Q: Example 3: A hospital switch board receives an aveage of 4 emergency calls in a 10 minute interval.…

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Q: Example 4: Find the probability for each. a)P(0 1.91)

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: Question 5: A jar contains 10 marbles, 7 black and 3 white. Two marbles are drawn without…

A: Given,no.of black marbles=7no.of white marbles=3total no.of marbles=10

Q: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

A: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

Q: Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are…

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Q: On average cleo catches a fish on 40% of the times that he casts his fishing line. If he casts his…

A: We have to find the probability that he will catch exactly 9 fish....

Q: d. There were 27 tourists in the group and every tourist saw at least one of the three types of…

A: From part a, we have

Q: Question 2 In a management trainee program at a particular company, 68 percent of the trainees are…

A: Given that                We have to find  a) Find the probability that a management trainee…

Q: Example 4: A manufacturer knows that the condensers he makes contain on average 1% defectives. He…

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Q: Example 7: If 3 balls are distributed to 4 cells, numbered as 1, 2, 3, 4. Find the probability that…

A: There is only way for distributing exactly one ball to each cell numbered 1,2,3 Cell 1 will have 3…

Q: There are 5 people from Arizona (A), 7 people from California (C), and 3 people from Nevada (N)…

A: Probability is the ratio of favorable outcomes to the total number of outcomes .  Given :  Number of…

Q: The yellow and green dice are tossed together. If A is the event that a 2 is shown on the yellow die…

A:

Q: At a college, 68 % of courses have final exams and 43 % of courses require research papers. Suppose…

A: At a college, 68% of courses have final exams and 43% of courses require research papers. Suppose…

Q: 20. QUESTION: Three babies are given a weekly health check at a clinic, and then returned randomly…

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Q: A group of people were asked if they had run a red light in the last year. 312 responded "yes", and…

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Q: EXAMPLE 32. The probability that a contractor will get a plumbing contract is 2/3, and the…

A: let;event F:a contractor will get a plumbing contractand event E: a contractor will get an electric…

Q: Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On…

A: