Assume that random guesses are made for nine multiple choice questions on an SAT test, so that there aren=9 trials, each with probability of success (correct) given by p = 0.2. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4. P(X< 4)= (Round to four decimal places as needed.)

Q: Suppose 34% of cubes processed by a machine have side lengths less than 100mm. A random sample of 60…

A: Solution: From the given information, the probability of a cube processed by a machine has side…

Q: Suppose X is a binomial random variable where the probability of success on a single trial is 0.89…

A: From the provided information, Sample size (n) = 617 Probability of success p = 0.89

Q: Supposę that 35% of all voters prefer Candidate A. If 8 people are chosen at random for a poll, what…

A: The binomial random variable is defined as the number of success given n number of trials, with the…

Q: The unemployment rate in a city is 15%. If 6 people from the city are sampled at random, find the…

A: Given problem Given that   The unemployment rate is 15% . If 6 people from the city are sampled at…

Q: two-candidate election, if a specific candidate receives at least 53​% of the vote in the​ sample,…

A:

Q: A study was conducted to determine whether there were significant differences between medical…

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Q: Suppose that 63% of all voters prefer the Democratic candidate. Let X be the number of people who…

A: From the provided information, 63% of all voters prefer the Democratic candidate that is p = 0.63…

Q: Assume that random guesses are made for nine multiple choice questions on an SAT test, so that there…

A: Solution: Let X be the random variable that the number of correct answer in the multiple choice…

Q: A study was conducted to determine whether there were significant differences between medical…

A: Given that n =9 ,p = 0.903 Using binomial distribution

Q: In a survey of 1186 ​people, 892 people said they voted in a recent presidential election. Voting…

A: Given information- Sample size, n = 1186 Percentage of eligible voters, p = 0.73 We have to find the…

Q: Assume that when an adult is randomly​ selected, the probability that they do not require vision…

A: Given:Let’s p is the probability that they do not require vision correction is 24%.So, p=0.24.Sample…

Q: Assume that random guesses are made for 4 multiple-choice questions on a test with 5 choices for…

A: Introduction: Denote X as the number of correct answers on the test.

Q: Suppose that in a particular country, the probability that a randomly chosen person is a left-handed…

A: Given,P(left handed∩baseball player)=0.014Pleft-handed|baseball player=0.250

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A:

Q: The unemployment rate in a city is 14% . If 8 people from the city are sampled at random,…

A: From the provided information, The unemployment rate in a city is 14% that is p = 0.14 Sample size…

Q: The unemployment rate in a city is 14%. If 7 people from the aity are sampled at random, find the…

A: Given that  Unemployment rate in city (P)= 14% = 0.14 (1-P) = 1-0.14 = 0.86 Random sample size (n) =…

Q: Assume that random guesses are made for 5 ​multiple-choice questions on a test with 5 choices for…

A: Given Information: number of questions, n = 5 Probability of sucess for each questions, p = 0.20 To…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Solution: From the given information, the proportion of eligible voters in the next election who…

Q: A computer has 16 memory chips inside in two parallel rows of eight. There is a problem with the…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: A survey showed that 78% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…

A: Solution: Let X be the number of adults need correction ( eyeglasses, contacts, surgery, etc) for…

Q: There are 750 players on the active rosters of the 30 major league baseball teams. A random sample…

A: Given n=10 Let X be the number of players test positive and fail the test.

Q: A research study uses 500 men under the age of 55. Suppose that 30% carry a marker on th male…

A: From the given information, The population size is N=500 Sample size, n=10 P(carrying marker)=30%…

Q: Assume that random guesses are 7 mutiple-choice questions on a test with 5 choices for each…

A:

Q: Assume that random guesses are made for 7 ​multiple-choice questions on a test with 5 choices for…

A: Obtain the probability of no correct answers. The probability of no correct answers is obtained…

Q: The Food Marketing Institute shows that 18% of households spend more than $100 per week on…

A: Given, p = 18% = 0.18 n = 900

Q: Assume that guesses are made for 2 questions on a medical admissions test such that the probability…

A: Here, n = 2 and p = 0.80.

Q: The unemployment rate in a city is 13% . If 7 people from the city are sampled at random, find the…

A: Solution: Let X be the number are unemployed and n be the sample number of people. From the given…

Q: The Food Marketing Institute shows that 16% of households spend more than $100 per week on…

A: 1. The standard error for the proportion of households spending more than $100 per week on groceries…

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A:

Q: Suppose that 20% of all people 16 years of age or older do volunteer work. Further suppose that…

A: Introduction: Denote p̂1 as the sample proportion of women aged 16 years or more who would do…

Q: A poll reported that 63​% of adults were satisfied with the job the major airlines were doing.…

A: It is given that n = 20 and p = 0.63.

Q: A survey of all medium- and large-sized corporations showed that 69% of them offer retirement plans…

A: From the provided information, A survey of all medium- and large-sized corporations showed that 69%…

Q: The unemployment rate in a city is 11%. If 10 people from the city are sampled at random, find the…

A:

Q: A survey showed that 83% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…

A: Given,n=8p=0.83q=1-0.83=0.17Let X= no.of adults require eyesight correctionX~Binomial(n=8 ,…

Q: If 9 of the students from the special programs are randomly selected, find the probability that at…

A: Given,Probability of garduation P=0.902for a binomial distributionP(X=x)=nCxPx(1-P)n-x Here,  no. of…

Q: Find the probability that a randomly selected medical student who took the test had a total score…

A: Let X be the random variable from normal distribution with mean (μ) = 500 and standard deviation (σ)…

Q: Assume that random guesses are made for 8 ​multiple-choice questions on a test with 2 choices for…

A: GivenTotal number of questions = n = 8Total number of options = 2P(correct answer) = 0.5 Let X be…

Q: In a study on the dissemination of fake news, users of a social network were classified into two…

A: Solution: From the given information,

Q: The unemployment rate in a city is 11%. If 9 people from the city are sampled at random, find the…

A:

Q: Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the…

A: Rework percentage increases to 4%. So, probability that a part requires rework = 0.04 20 samples are…

Q: s the probability that eight randomly selected 1-year-old male chipmunks will live to s the…

A: Givenprobability that a randomly selected 1-year-old male chipmunk will live to be 2 years old is…

Q: The unemployment rate in a city is 12%. If 7 people from the city are sampled at random, find the…

A:

Q: A survey of all medium and large-sized corporations showed that 63% of them offer retirement plans…

A: Given From the information, Let n be the sample size = 50 Let p be the population proportion = 0.63

Q: According to the statistics, 13% of cars in the city were at least 12 years old in 2004. Assume that…

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Q: Suppose that 95% of all registered voters in a certain state favor banning the release of…

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Q: Assume that random guesses are made for nine multiple choice questions on an SAT test, so that there…

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Q: According to recent reports, currently 39% of the population of NC (adults and children) has been…

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Q: A study of college students stated that 25% of all college students have at least one tattoo. In a…

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Q: A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…

A: Obtain the probability that no more than 1 of the 14 adults require eyesight correction.   The…

Q: random sample of n = 64 scores is obtained from a normal population with µ = 30 and σ = 10. What is…

A: Let X be a random variable which follows Normal distribution with mean(μ) 30 and standard…