Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find: The probability that in the next 18 samples, exactly 2 contain the pollutant. The probability that at least four samples contain the pollutant.

Q: Twenty-six percent of couples who plan to marry this year are planning destination weddings. In a…

A: From the given information, 26% of couples who plan to marry this year are planning destination…

Q: The seedlings of a particular type of tree are randomly dispersed in a large area, with an average…

A: Here we have given that λ = 6 We will use Poisson distribution to find the probability

Q: In a fundraising event, 100 raffle tickets are sold, with 10 of them being winning tickets. If you…

A:

Q: Given (BSC) shown below, to transmit message of 1s and 0s, at the transmitter if p(m1) = 0.45, find:…

A: Problem can be solved using concept of conditional probability (Bayes theorem).

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A: We want to find vlaur of people(Ec)

Q: Determine whether each of the following statements is true or false, and explain why. The…

A: The list of probabilities of various outcomes, all of them mutually exclusive and exhaustive is…

Q: a. Determine the probability that X is between 90 and 91. (Exp

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  HERE USE basic of normal distribution

Q: (c) Find and interpret the probability that exactly 10 flights are on time. (d) Find and interpret…

A: P(X = 10) = 0.1032

Q: one

A:

Q: tennis plaver makes a successful first serve 51% of the time, If she serves 9 times, what is the…

A:

Q: Assume that the probability of recovering from a brain surgery is 0.8. Considering the next 100…

A: NORMAL APPROXIMATION to BINOMIAL DISTRIBUTIONthe PDF of normal distribution is = 1/σ * √2π * e ^…

Q: a) Find the probability that 35 of those sampled have a HS diploma or the equivalent. b) Find the…

A: Here the given situation follows a binomial distribution.

Q: (c) Find the probability that a randomly selected student has a runny nose or a sore throat. (d)…

A:

Q: A place kicker in pro football has a 77% probability of making a field goal over 40 yards, and each…

A: There is 77% chance that the place kicker can make a field goal over 40 yards.

Q: According to a survey, 78% of the students at Delta own a calculator. A group of 18 students is…

A:

Q: Find zo given the associated probability P(z> 2,) = .0505 ,9494 Zo= .9495 • 0505

A:

Q: Determine whether each of the following statements is true or false, and explain why.The probability…

A: The statement that probability of an event E given an event F and probability of F given E is same.…

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A: Since you have asked questions with multiple parts, we will post the answer for first three cards.…

Q: A botanist is cross-pollinating her dahlias to produce new colors. The chart shows the probability…

A: Given that     A botanist is cross-pollinating her dahlias to produce new colors. The chart shows…

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.45, and ​P(F)=0.27

A:

Q: Three locks can safely lock the door with the probabilities of 0.9, 0.6, and 0.85, respectively.…

A:

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 18. (a) Find…

A: Solution-: Given :λ=18 We want to find, (a) P(fewer than 14 field mice are found on a given acre)=?…

Q: According to a survey, 78% of the students at Delta own a calculator. A group of 18 students is…

A: Given :  According to the survey, 78% of the students at Delta own a calculator.  A group of 18…

Q: A softball pitcher has a 0.487 probability of throwing a strike for each pitch. If the softball…

A: Let the random variable X denote number of strikes throw a pitcher and it follows binomial…

Q: (a) Find the probability that all four have type B' blood.

A:

Q: A deck of cards is used, determine the theoretical probability of each: (Show ALL supporting work)…

A: We cam find all the three answers as below

Q: A student has a total of 11 books and 4 of her books are science fiction. If she arranges them on a…

A: Given that there 11 books. Hence, the total number of possible ways to arrange 11 books is 11!.…

Q: A person has the right to take the driver's license exam 6 times. The probability of passing any…

A: Solution: Let X be the number of exams the persons took and n be the number of times a person has…

Q: Let A = the event of HIV positive, P(A) = 0.05, and 100 individuals are selected for the test. What…

A:

Q: Assume that the average number of phone calls coming at a small corporation's switchboard is 30 per…

A: Given :  The average number of phone calls coming at a small corporation's switchboard is 30 per…

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A: Probability of an event when event B is given is determined by,

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Q: A penny and a nickel are tossed. Find the probability that the pennyShows heads, given that the…

A: Solution

Q: Determine whether each of the following statements is true or false, and explain why.A die is thrown…

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Q: The average number of field mice per acre in a wheat field is estimated to be 1.2. Find the…

A: Given, The average number of field mice per acre in a wheat field is estimated to be 1.2. The…

Q: The probability of a particular event occurring, given that another event has occurred, is known as…

A: Let two dependent events A & B are such that probability of p(A) & p(B) and p(A n B) are…

Q: Sixty-five percent of men consider themselves knowledgeable football fans. If 11 men are randomly…

A: Given Sixty-five percent of men consider themselves knowledgeable football fans.  Suppose X be the…

Q: (c)[ If the ten balls are drawn with replacement, write down the probability function of X. (d) If…

A: Given that  Red ball=15 , Blue ball=7 p=probability of red ball=15/22=0.6818 Ten ball are drawn with…

Q: Given P(A) = 0.031, find the probability of the complementary event. 0.969 O 0.992 0.946 None of…

A: Given that,P(A) = 0.031

Q: The probability that an alarm system will work when there is a danger in a construction site is…

A: Let event D denotes Danger Event A denotes Alarm will work Given that

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 12. (a) Find…

A: a) Find the probability that fewer than 10 field mice are found on agiven acre. b) Find the…

Q: In a given school, the probability that a student has scholarship is 0.42. A group of 16 students…

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Q: A blind taste test will be conducted with 9 volunteers to determine whether people can taste a…

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Q: Risk Management: 80% of people who purchase pet insurance are women. If 9 pet insurance owners are…

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Q: A spinner consists of eight equal regions as shown. H. D F VE If Rob spins the spinner twice, what…

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Q: In order to start a particular board game, a player must roll a 1 or a 6. Show the probability…

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Q: The probability that a patient recovers from a rare blood disease is 0.3. If 12 people are known to…

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Q: e. Find the probability that at most four students will attend. (Round to five decimals.) f. Find…

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Q: Find the probability ​P(Ec​) if ​P(E)=0.17.

A: Given,   P(E)=0.17   The objective is to find P(Ec)

Q: Determine the probability that exactly one of these events will occur. Answer with the probability…

A: From provided information; A, B and C are three independent events with probabilities P (A) = 0.2, P…