A survey has shown that on average, 1 person in 1000 makes a mistake on leaving their belongings unattended. Suppose that 10,000 respondents are randomly selected, find the probability that 5, 6, or 7 of the respondents commit such mistake

Q: A student is selected at random from a group of 200 students. In which 135 take math, 85 take…

A: Given data: Total number of students =200 Number of students who took Math = 135 Number of students…

Q: Thirty percent of a population of consumers is reputed to prefer a particular brand, say Brand A, of…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: Based on a​ poll, 60​% of adults believe in reincarnation. Assume that 4 adults are randomly​…

A: Let x follows binomial distribution with parameters n = 4 and p = 0.60   The pdf of binomial…

Q: For a certain manufacturing process it is known that, on the average, 10% of the items are…

A: Probability of defective item= 10% Probability of non defective item= 90%  As 1st trial, 2nd trial…

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 16 caramel…

A: Given info: The basket contains 27 peanut butter ​cookies, 16 caramel ​cookies, 11 sugar ​cookies,…

Q: A poll is given, showing 20% are in favor of a new building project. If 2 people are chosen at…

A: Given data,p=20%=0.20n=2P(X=1)=?

Q: A public survey reported that 5% of the people now in the community are afraid of walking alone in…

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Q: Obtain the probability distribution of X that shows the number of heads in a three tosses of a coin.

A: Consider X be the random variable that could take the values 0, 1, 2 and 3. The sample space could…

Q: In any given sampling, there is a 54% chance that a new invasive fish to be sampled along with other…

A: Probability: Probability is a chance factor that can occurs at every outcome of a random experiment.…

Q: A nationwide survey of seniors by the University of Michigan reveals that almost 30.0% disapprove of…

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Q: A store owner complains that, on the average, 2 bottles per case of a certain brand of  softdrink…

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Q: The American Automobile Association reports that of the fatal car and truck accidents 54% are caused…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Suppose a math class contains 36 students, 19 females (four of whom speak French) and 17 males (two…

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Q: A poll is given, showing 25% are in favor of a new building project. If 10 people are chosen at…

A: According to the given information, we have A poll is given, showing 25% are in favor of a new…

Q: Based on a poll, 60% of adults believe in reincarnation. Assume that 8 adults are randomly selected,…

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Q: A recent study found that 63% of all tax returns have no errors. Assuming this is true, find the…

A: Solution: Let X be the number of tax returns have no errors and n be the sample of tax returns. From…

Q: A poll is given, showing 20% are in favor of a new building project. If 6 people are chosen at…

A: ( 1 ) Given n =6,p=0.2,p(x=1) =? ( 2) Given n = 8 , p=0.05 , p( x=4 ) =?

Q: Suppose that 56% of students in a college have a smart phone. If you select three students at…

A: Solution: It is given that 56% of students in a college have a smart phone.  Thus, probability that…

Q: Suppose a math class contains 31 students, 19 females (two of whom speak French) and 12 males (three…

A: We have given that a math class contain 31 students, 19 females( 2 speaks French) and 12 males(3…

Q: Suppose a math class contains 47 students, 24 females (four of whom speak French) and 23 males (six…

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Q: From a prior national study, we are able to infer that the probability of a high school student…

A: Probability of a senior from Tom River  going to college (p) = 0.6 (since all of their parents have…

Q: According to a survey by the Administrative Management Society, one-half of U.S. companies give…

A: Given: Sample size of companies (n) = 6 Probability of a company giving vacation (p) = 0.5 Let X be…

Q: A cookie is selected at random from a basket containing 16 sugar ​cookies, 28 peanut butter…

A: Ans --> Given, A cookie is selected at random from a basket containing 16  sugar cookies,  28…

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

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Q: Suppose a math class contains 35 students, 19 females (four of whom speak French) and 16 males…

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Q: A survey found that one out of five Americans say he or she has visited a doctor in any given month.…

A: From the provided information, Sample size (n) = 10 Probability of Americans who visited a doctor in…

Q: In a citrus orchard, it is found out that 15% of them are affected by a particular disease. find the…

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Q: three out of four university students under 25 years old have eaten eggs for breakfast. If a random…

A: Solution: Given data: Probability, P = 3/4  = 0.75 Sample size (n) = 20 To find : the probability…

Q: A batch of 100 cords has 8 defective cords. If 4 cords, taken at random from the batch, are to be…

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Q: Records show that 65% of employees at a high-level research facility have a doctorate degree. If 14…

A: Given data Record shows that 65% of employees at high level research have a doctorate degree. 14…

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 24 sugar…

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Q: A recent study found that four out of nine houses were underinsured.  If five houses are selected…

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Q: a certain population, a group of people has a 0.23% rate of heterochromia. If a random person is…

A: Probability = number of favorable eventstotal number of events

Q: Suppose a math class contains 42 students, 18 females (six of whom speak French) and 24 males (four…

A: given that , total students =42 , female students = 18, male students = 24. Female students who can…

Q: Based on a poll, 60% of adults believe in reincarnation. Assume that 8 adults are randomly selected…

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Q: According to data on the sale of Vehicles in Barbados, it was calculated that men purchase 75% of…

A: From the provided information, Men purchase 75% of vehicles in Babados (p) = 0.75 Sample size (n) =…

Q: A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the…

A: Given,n=6p=0.4q=1-0.4=0.6A random variable X~Binomial(n=6 , p=0.4)P(X=x)=6x0.4x0.66-x   ;…

Q: Based on a Comcast​ survey, there is a 0.8 probability that a randomly selected adult will watch​…

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Q: Suppose a math class contains 23 students, 11 females (five of whom speak French) and 12 males (four…

A: From the information,   French Not French Total Female 5 6 11 Male 4 8 12 Total 9 14 23

Q: Suppose a math class contains 27 students, 14 females (six of whom speak French) and 13 males (three…

A: Solution: From the given information, a class contains 14 females. Out of which 6 speck French.…

Q: In the current campaign period, suppose a random person is selected, based on previous survey, there…

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Q: According to police sources, a car with a certain protection will be recovered 90% of the time. If…

A: Introduction:Consider the event of recovering a stolen car with the protection as a “success”.For a…

Q: A survey of families revealed that 58% of all families eat turkey at holiday meals, 44% eat ham, and…

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Q: Of all 3- to 5-year-old children, 56% are enrolled in school. If a sample of 500 such children is…

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

A: Solution-: Given: n=10,p=0.33 We find, P[no more than 6 belong to an ethnic minorities]=?

Q: Suppose a math class contains 39 students, 18 females (three of whom speak French) and 21 males…

A: A math class contains 39 students. That is, n=39. Let F is defined as the student is female, M is…

Q: A safety engineer claims that only 30% of all workers wear safety helmets when they eat lunch at the…

A: The Probability mass function for Binomial distribution is given by                     P(X=x)=ncx…

Q: Suppose a math class contains 41 students, 19 females (two of whom speak French) and 22 males (three…

A: