During a power blackout, one hundred persons are arrested on suspicion of looting. Each is given a polygraph test. From past experience, it is known that the polygraph is 90% reliable when administered to a guilty suspect and 98% reliable when given to someone who is innocent. Suppose that of the one hundred persons taken into custody. Only twelve were actually involved in any wrongdoing. What is the probability that a given suspect is innocent, given that the polygraph says he is guilty?

Q: Adult Americans were asked if they felt that food packaging labels were truthful. Sixty-seven…

A: GIVEN DATA P( felt that food packaging labels were truthful) = p = 0.67 sample size (n) = 90 x = no.…

Q: According to the statistical abstract of the United States, about 17% of all current 18-22-year-olds…

A: Solution:Convert the given percentage to a probability:The problem states that 17% of current…

Q: The quality control manager of​ Marilyn's biscuits is inspecting a batch of​ chocolate-chip biscuits…

A:

Q: It is known that the average number of jeepney that passes through the designated waiting area is…

A:

Q: It is known that 35% of adult females are experiencing sleep disorder. If 17 adult females are…

A:

Q: aple of fifty college students, what is the probability that at least forty of them participate in a…

A:

Q: An airline company is considering a new policy of booking as many as 218 persons on an airplane that…

A: Given n=218 P=0.90

Q: An Insurance company study shows that 45% of U.S. adults have high blood pressure. Suppose 6 U.S.…

A: Let p be the probability of U.S. adults have high blood pressure  n be the sample  size Let X be the…

Q: According to a​ newspaper, 40​% of bicycles stolen in a certain country are recovered. Find the…

A: Solution: We are given that 40​% of bicycles stolen in a certain country are recovered. Let x be the…

Q: According to an article published at heart.org in 2015 regarding a variety of US health data: Given…

A: Solution: Given information: Let A  be the event that someone in the US has a first time  heart…

Q: About 2.5% of Canadians have blood type AB. If 25 Canadians are selected randomly, find the…

A: Given: n = 25 p = 2.5% = 0.025 q = 1-0.025 = 0.975 Formula Used: P(X=x) = Cxnpxqn-x

Q: According to Internal Revenue Service records, 1.68% of all household tax returns are audited.…

A: Let A be the event all household tax returns are audited.B be the event all households own a…

Q: Suppose that in the bookkeeping operation of a large corporation the probability of a recording…

A: Givenp=0.005n=1000Let "x" be the billings contain a…

Q: Based on a Bellowes survey of adults, there is a 0.48 probability that a randomly selected adult…

A:

Q: An insurance company says there is a 77% likelihood that you will be responsible for a car accident…

A: p = 0.77 n = 320 million  ==============================

Q: According to the U.S. Census Bureau, 19.1% of U.S. households are in the Northeast. In addition,…

A: Introduction: Denote A as the event that a household in the country earns $75,000 per year or more,…

Q: Ecording tó thẻ Nèw York Times, eleven percent of parents helped their college ildren write an…

A: Given data,p=11%=0.11n=7P(X≤2)=?

Q: The Cincinnati Enquirer reported that, in the United States, 60% of adults and 82% of youths ages 12…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: The probability that a person has a negative side effect from a medication is .08. Suppose you treat…

A: From the provided information, The probability that a person has a negative side effect from a…

Q: n the toal US population, it is believed that only 12% of adults are lactose intolerant. if 200 US…

A: In this case, each considered US adult has the only options of being "lactose intolerant" (defined…

Q: An airline company is considering a new policy of booking as many as 262 persons on an airplane that…

A: Given n=262 P=0.84

Q: According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are enrolled in…

A: Given that According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are…

Q: Suppose that in a given country, the proportion of households owning their own home is 0.65.…

A:

Q: Every day at lunch, the Subway sandwich shop will use between zero and three gallons of guacamole.…

A: The amount of guacamole is equally likely means there is uniform distribution from 0 to 3 gallon,…

Q: 1. Reports suggest that 62.6%% of United States' homes have a fireplace, 36.5% have a garage and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Out of a survey of 400 customers, under the assumption that 0.5 is the correct proportion, what is…

A: From the provided information, Sample size (n) = 400 Proportion (p) = 0.5

Q: 1.If 55% of the adult population is female, and a Jury consists of 12 adults, calculate the…

A: Given that n=12 , p=55%=0.55, q=0.45 X~Binomial(n=12,p=0.55)

Q: cars fail emissions inspection. ABSume that thế Pesu an emissions control center, 1375 a. What is…

A: The probability that first inspection failure will be observed at the 6th position.    Probability =…

Q: According to the CDC national center for health statistics, about 42.4% of adult Americans fit the…

A: given data, p=0.424n=200np=0.424*200=84.8nq=(1-0.424)*200=115.2 here np and nq≥5so we can assume…

Q: In a certain high school, the probability that a student drops out is 0.1, and the probability that…

A:

Q: A pew research center survey asked adults in the United States which technology would be very hard…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…