The probability that a federal income tax return is filled out incorrectly with an error in favor of the taxpayer is 20% . What is the probability that of the ten tax returns randomly selected for an adult , three returns will contain only errors favoring the taxpayer ?   is it binomial , geometric or poisson

Q: An analyst predicted that 3.5% of all small corporations would file for bankruptcy in the coming…

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Q: the probability that more than 17 of the students smoke?

A: Given : n=75 , p=0.277 , q=1-p=1-0.277=0.723 Here  np=75*0.277=20.7750>5 and…

Q: A 5-card hand is dealt from a perfectly shuffled deck so that each 5-card hand is equally likely.…

A: Let X denote the expected number of hearts in 5 card hand. Form probability distribution for the…

Q: It is found that 10% of watches produced at a particular factory are defective.  If 14 watches made…

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Q: In a certain community, it is accepted that 85% of households are two-income households. You select…

A: Given, n=150 p=85%=0.85 q=1-p=0.15

Q: On average, six people per hour conduct transactions at a special services desk in a commercial…

A: Define the Random Variable, X : Number of people conduct transaction. We will assume poisson…

Q: A survey conducted by the Consumer Reports National Research Center reported, among other things,…

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Q: 5. To avoid detection at customs, a traveller has placed 6 narcotics tablets in a bottle containing…

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Q: It is found that 9​% of watches produced at a particular factory are defective. If 21 watches made…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Suppose the probability of a bank making a mistake in processing a deposit is .0003. If 10,000…

A: Given,n=10,000p=0.0003here n is large and p is very small so we haveto use poisson distribution with…

Q: Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college…

A: It is given that n=32 and p=0.45.

Q: According to a national​ study, 32​% of taxpayers used computer software to do their taxes for a…

A: From the given information, 32​% of taxpayers used computer software to do their taxes for a certain…

Q: What is the probability that all four phones were defective given that at least two defectives were…

A: c) From the part a, x 0 1 2 3 4 P(x) 0.522 0.368 0.0975 0.0115 0.001 Consider, the…

Q: What is the probability of tossing at least two heads

A: Let p be the probability of tossing a head. Then p = 0.5 And  X counts the number of heads in four…

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: According to the chemical engineering development report, approximately 30% of all power failures in…

A: Given: Probability of success (p)=0.30 Number of trials (n)=20 Consider X be the random variable…

Q: suppose that when a new machine is functioning well, 92% of the items produced are non-defective.…

A: Probability of selecting non defective = 92% = 0.92 q= 0.92 We know that, p= 1-q= 0.08  If we select…

Q: survey of 2436 men age 18 and older in 1998 for the commonwealth Fund indicated that more than half…

A: If the prior information is not known, we assume that sample proportion is, Critical value: From…

Q: Suppose that warranty records for a car maker show that the probability that a new car needs a…

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Q: According to a survey, 61% of adults are concerned that Social Security numbers are used for general…

A: The trial consists of response from the adults regarding their concern. Consider success as Yes,…

Q: Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college…

A: binomial distribution formula: P(X=x)=nCxpxqn-x where P(X=x) = probability of x success =…

Q: Suppose that 25% of fire alarms in a large city are false alarms. Approximate the probability that,…

A: Given that, Probability = 25% = 0.25 Sample size = 100

Q: Suppose there is a 11.8% probability that a randomly selected person aged 40 years or older is a…

A: Let F denotes Female J denotes Jog From the given information

Q: To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin…

A: In the bottle, there are (6+9) = 15 tablets. Among the 15 tablets, 6 are narcotic tablets and 9 are…

Q: A survey has shown that on average, 1 person in 1000 makes a mistake on leaving their belongings…

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Q: what is the probability more than half of the sampled students are working full time?

A: Assume sixty percent of all NKU students work full time. If a random sample of 70 NKUstudents is…

Q: Suppose the number of motor-vehicle fatalities in a city during a week is Poisson-distributed, with…

A: Let the random variable x denote the number of motor-vehicle fatalities in a city during a week.…

Q: A recent study suggested that 70% of all eligible voters will vote in the next presidential…

A: It is given that n =20 and p =0.70.

Q: It is stated by the IRS that 71% of filed returns receive a refund.  If you were to sample 50…

A: According to the given question, it is stated by the IRS that 71% of filed returns receive a refund.…

Q: A meteorologist found from the past year’s records that it rained 17% of the days. Based on this…

A: Let X= number of days rained  Number of observation= 15  probability of X= p = 0.17  So, X follows a…

Q: 7 cards are selected at random from a pack of cards without replacement. What is the probability…

A: Given: 7 cards are selected at random from pack of cards without replacement.

Q: Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college…

A: The probability Mr. Keller will pick all 32 of the first round games correctly is 0.0000, which is…

Q: Suppose that 28.7% of Canadians contributed to their RRSP (registered retirement fund) this year. If…

A: We have given that,  X be the random variable from binomial distribution with p= 28.7% = 0.287 and…

Q: A life insurance company has found a 3% probability that a randomly selected application contains an…

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Q: Suppose that a box contains five red balls and ten blue balls. If seven balls are selected at random…

A: As per company term and conditions we can answer only one question please  raise another ticket for…

Q: Suppose that it is known that 45% of eighteen-year-olds in a particular city do not have a driver's…

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Q: An IRS auditor randomly selects 3 tax returns fro 49 returns of which 6 contain errors. What is the…

A: given data   6 - contain errors 43 - error free ____________________ 49 - total returns filled

Q: As a manager of an organization, what probability distribution from this week binomial/poisson would…

A: As a manager of an organization, what probability distribution from this week binomial/Poisson would…

Q: Previous surveys indicate 33% of households in Barrie regularly recycle household waste through a…

A: Given that  n=10 , p=33%=0.33 , q=1-p=1-0.33=0.67 X~Binomial(n=10,p=0.33) X= Number of blue box

Q: An annexation suit is being considered against a country subdivision of 1200 residences by a…

A: Givenno.of residences = 1200half of the residenced object to being annexedp=6001200=12=0.5sample…

Q: The IRS indicates that 90% of all tax returns are filed electronically. Assume that figure is…

A: Let p be the proportion of all tax returns are filed electronically. Given that p = 0.9 Sample size…

Q: Suppose a population consists of 10 items, four of which are classified as defective and six of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0354…

A: Given: n = 393 p = 0.0354 Let X defined the number of the tax returns filed are fraudulent or will…

Q: Suppose 3% of items manufactured at a facility are defective. A random sample of 600 items are…

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Q: What is the probability that three Poisson random independent variables A,B, C, with parameters 1,…

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Q: Suppose that one third of the new buildings in Centra City are in violation of the building code. If…

A: Let us denote X=the number of building that violate of the building coden=sample size=5p=probability…

Q: Suppose a certain study reported that 27.7% of high school students smoke. Random samples are…

A: Solution: Given data: p = 0.277 Population size (N) = 632 students Sample size (n) = 60 To find: The…

Q: Suppose that when a new machine is functioning well, 92% of the items produced are non-defective.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A manufacturing company performs a quality-control analysis on the ceramic tile it produces. Suppose…

A: Total tiles = 16 Defective tiles = 7 If 5 tiles are sampled at randomly then probability that…