Suppose that 2% of all people have brain clouds, and there is a test with the property that 92% of people with brain clouds react positively and 6% of people without brain clouds react positively. If we know that Joe reacted positively to the test, what is the probability that Joe has brain clouds? swered

Q: What is the probability that a randomly selected ice cream was vanilla or was ordered on a Sunday?

A: The data is given by   Saturday Sunday Total Chocolate 4 10 14 Vanilla 3 7 10 Cookie dough…

Q: If couples are selected at random from the population, what is the probability that the first couple…

A: Let p denote the probability of having twins. Given that p = 3% = 0.03 Let X denote the trial number…

Q: Catherine Chao, director of marketing research, needs a sample of Kansas city households to…

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Q: A biologist finds that 25​% of fruit flies have short wings and 30​% have eye defects. Assuming…

A: Solution:From the given information, the probability that fruit flies have short wings is 0.25…

Q: It has been been found that 1 out of 10 visitors to a museum buys something from a gift shop. If we…

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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 maker of yardsticks has an ink problem that causes the markings to smear on 4% of the yardsticks.…

A: Given information:It is given that N=2,000; n=100; p=0.04 (=4%).The sample proportion is…

Q: A manufacturing company has determined that a machine averages one faulty unit every 600 it…

A: Given that a machine averages one faulty unit every 600 it produces. so the average number of the…

Q: 66% of students at one college drink coffee, and 13% of people who drink coffee suffer from…

A: Given: Probability of students who drink coffee = 0.66 Probability of students who drink coffee…

Q: Migraine medication was administered to patients in that 5% experienced weight gain as a side…

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Q: Progressive has found 7% of all policy holders were in a car wreck last year if 13 policy holders…

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Q: A fair 6-sided die is tossed and a four coloured spinner (blue, green, yellow, red) is spun. What is…

A: Given that A fair 6-sided die is tossed and a four coloured spinner (blue, green, yellow, red) is…

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

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

Q: Suppose a recent study determined that 29% of Americans favorite ice cream flavor is If a sample of…

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Q: About IO percent of the population is left-handed. Ofthose who are right-handed, about 40 percent…

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

Q: A drug den uses a traveler to deliver drugs without being apprehended by the customs. The traveler…

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Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

A: Given that Student tested positive = 96% I.e probability of students tested positive is =0.96

Q: Past records of a factory show that 4% of the candles produced are defective. What is the…

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Q: Q2: Suppose that after 10 years of service, 40% of computers have problems with motherboards, 30%…

A: Percentage of motherboard problem is 40%. Percentage of hard disc problem is 30%. Percentage of both…

Q: 15% of adults in the United States do not make New Year's resolutions. Suppose a random sample of…

A: 15% of adults in the United States do not make New Year's resolutions. Suppose a random sample of…

Q: The air conditioner of 2 out of 10 cars in a car dealership is faulty. For a company that buys 4 of…

A: Giventhe air conditionerof 2 out of 10 carsis…

Q: A lie detector is known to be 70% reliable when the person is quilty and 95% reliable when the…

A: The machine is reliable when person is guilty is 70% The machine is reliable when person is not…

Q: As part of a promotional campaign, a store is offering a free Fitbit with the purchase of the new…

A: Let A denote the event that iPhone are faulty  Let B denote the event that Fitbits are faulty The…

Q: The southeast regional manager of General Express, a private parcel-delivery firm, is worried about…

A: Given: Let A represents the event of Pilots. Let B represents the event of drivers. The probability…

Q: impact of caffeine consumption. Smoking alcohol consumption and physical activity on cardiovascular…

A: Given that,  40% of participants consume caffeine and smoke. 8 participants are evaluated. Here,…

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Let, P(growing)=60% = 0.60 P( not growing)=1-0.60 = 0.40 n = 11 The probability that exactly 4 don't…

Q: hilitu of cuccers n035 and n=5 trials is conducted, What is the probability that the experiment…

A: It is given that n=5 and p=0.35.

Q: A box with 15 silicon chips contains five defective chips. If a random sample of three chips is…

A: Given problem Given that   A box with 15 silicon chips contains five defective chips. Total…

Q: An average student is known to have a chance of 50% in answering a TRUE or FALSE question correctly.…

A: Obtain the probability that an average student will have at least 1 correct answer.   The…

Q: A politician running for Senate in California claims that only 34% of CaliforhlanS dp her competitor…

A: From the given information, n=50 p=0.34

Q: A certain group of women had a 0.73% rate of red/green color blindness. If a woman is randomly…

A: It is given that a certain group of women had a 0.73% rate of red/green color blindness.

Q: It is a well-established fact that 40% of people are scared of squirrels. - If we take a SRS of 250…

A: Checking condition to use normal distribution: np=250×0.40=100>10…

Q: Transportation officials reported that 8.5 out of every 2000 airline passengers lost luggage during…

A: Solution: Given information : Let X be the random variable that airline passengers lost luggage…

Q: It is known that in a batch of milk cartons, 30% are underfilled. In a sample of six milk cartons…

A: Given that the batch of milk cartons underfilled is 30% and there are sample of six milk cartons.…

Q: In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What…

A: A = families own a dog B= families own a cat  P(A)=36%=0.36 P(B)=30%=0.30

Q: A politician running for Senate in California claims that only 34% of Californians approve of the…

A: Obtain the probability that more than 40% of those surveyed approve of the competitor. The…

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: it is estimated that 4800 of the 24,000 voting residents of a town are against a new sales tax. If…

A: Given: Number of residents against a new sales tax (x)= 4800 Total voting residents (N)=24000

Q: It is estimated that 4000 of the 10,000 voting resident of a town are against a new sales tax. If 15…

A:

Q: The recent storm, Maring, caused a lot of people to get infected with a disease. Doctors estimate…

A: Solution: Let X be the number of people infected with the disease and n be the sample number of…

Q: The chance that a U.S. police chief believes raising the cost of parking tickets "significantly…

A: We have given that  n=9 , p=1/4=0.25  , q=1-0.25=0.75 X~Binomial(n=9,p=0.25) Find P(X=5)

Q: A manufacturer of aluminum sheets, finds that on the average, 12.5% of his sheets are rejected…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A study showed that 31​% of all firms in Country A are owned by women. You are phoning local​…

A: Obtain the probability that all the three are owned by women. The probability that all the three are…

Q: Suppose that 16% of the high school athletes in a large school district have taken a banned…

A: Given: When 16% of high school athletes in a large school district who consumed a banned substance.…

Q: What is the probability that the consumer is 18-24 years of age, given that he/she dislikes…

A: AS PER POLICY I HAVE CALCULATED 3 SUBPARTS  here use given table and basic probability rule and…

Q: What is the probability that a randomly selected adult user of the Internet is age 50 or older?…

A: Let us define some events A : adult internet user is age 18-49 B : adult internet user is age 50 or…

Q: Suppose that about 55% of the people who are murdered actually knew the murderer. Suppose that a…

A: It is given that, the proportion of people who are murdered actually knew the murdered (p) is 0.55…

Q: The manager of Toy World has decided to accept a shipment of electronic games if none of a random…

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Q: It is found that a certain pharmaceutical cures symptoms in 35% adults. If 500 people take the…

A: Givenp=0.35n=500x~Binomial(n=500,p=0.35)P(X=x)=(nx)(p)x(1-p)n-x   ; x=0,1,..,n