Example 1: Find the probability of drawing 2 red balls in succession from a bag containing 4 red and 5 black balls when the ball that is drawn first is (i) not replaced (ii) replaced.

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: 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: f 9 out of 1496 people have a certain genetic defect, what is the probability of selecting three…

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Q: Will wanted to track the growth of various fruits in his garden, so he decided to label them. His…

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Q: According to Wealth committee data, 0.15% of people have anemia. If 2000 people are randomly…

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Q: Brand X automobiles are manufactured at three different plants, A, B and C.  Factory A produces 25%…

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Q: Example 8.13 What is the probability of getting three heads or three tails on three successive…

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Q: Example 10: A survey from Teenage Research Unlimited (Northbrook, Illinois) found that 30% of…

A: Given: n=5p=30%=0.3q=1-p=1-0.3=0.7

Q: Suppose it has been observed that an average of six vehicles passes by their house per minute on…

A: Let X denote the number of passing vehicles on a Wednesday morning per minute.

Q: What is the probability that in every two hours the nurses cannot accommodate the arriving patients?

A: As PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

Q: Example 5: Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If…

A: Answer: From the given data,

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: uppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: In the given question, concept of probability is applied. Probability The ratio of the number of…

Q: What is the probability that he must stop a. At both lights. b. At the first light but not at the…

A: Given : P (He must stop at the first light) = 0.35 P ( Stopping at the second light) = 0.65 P (…

Q: A friend has placed a large number of plastic disks in a hat and invited you to select one at…

A: Probability distribution is an expression that associates each outcome of a statistical experiment…

Q: Suppose I toss a fair coin, and the first toss comes up heads. If I keep tossing the coin until I…

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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: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

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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: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: Question 4 Bobby is playing in the final of a chess tournament. The first game has a 50% chance of…

A: Theorem of Total Probability: Let A1, A2, ... , An be n mutually exclusive and exhaustive events…

Q: Q. No.1: Find the probability of two persons being born on the same day?

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: Example 3-59. Data on the readership of a certain magazine show that the proportion of 'male readers…

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Q: Example 6.2.4 If a die is thrown 3,600 times, show that the probability that the number of sixes…

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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: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4- Customers arrive at Speedy Oil Change at the rate of 9 per hour. What is the probability that…

A: Given, Customers arrive at speedy oil change at the rate of 9 per hour. Poisson distribution:…

Q: Suppose that 40% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and…

A: Introduction:  Probability of intersection of two events:  Probability of intersection of two events…

Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

A: Given that,60% of the community favored building a health center in their neighborhood.Probability,…

Q: Example 16 : If the probability that a communication system will have high fidelity is 0.81 and the…

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Q: Example 8.12 What is the probability of getting at least two tails on three successive tosses of a…

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Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: A students is going to graduate from a business department of a university by the end of the…

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Q: 2. Wanda receives on average 8 messages from Vision in a 3 hour period. What is the probability that…

A: Given on average 8 messages from vision in a 3 hours periodλ=8 messages from vision in a 3 hours Let…

Q: (a) The probability that an automobile being filled with gasoline will also need an oil change is…

A: Given Information: Probability that an automobile being filled with gasoline will also need an oil…

Q: Example 8.28 Two computers A and B are to be marketed. A salesman who is assigned a job of finding…

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Q: Example 1: If the probability that an individual suffers a bad reaction from a certain injection is…

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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: A salesman is known to sell a product in 3 out of 5 attempts while another salesman in 2 out of 5…

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Q: According to Wealth committee data, 0.3% of people have anemia. If 2000 people are randomly…

A: Given,n=2000p=0.003here n value is very large and p value is very smallso, binomial distribution…

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

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Q: Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: Given that,  You roll a 6-sided die, a 10-sided die, and a 20-sided die.

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: Rework problem 5 from section 2.4 of your text (page 81) about randomly selecting 4 cans of Fresca…

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

Q: EXAMPLE 2.1 A contractor is planning the acquisition of construction equipment, including…

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Q: Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: According to the provided information, roll the dice repeatedly, and keep flipping it until observe…

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…

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