consider that 2% of engines produced by a factory need to be recalled. If 5 engines produced by it are examined at random, what is the probability that none will need a recall?

Q: An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of…

A: Hypergeometric distribution:A random variable x is said to follow a Hypergeometric distribution, if…

Q: a. Consider 15 couples in which both members of each couple carry the A-T gene. What is the…

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Q: Suppose you select a token at random from the dish above. What is the probability that the token is…

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Q: In a class of 8 students, what is the probability that at least one was born in July?

A: c) Given that there are 12 months in a year. The probability that student born in July is…

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: 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: In a given year, 2,264,724 males and 2,124,694 females were born in a certain country. If a child is…

A: Number of male born in that given year: NM=2264724 Number of female born in that given year:…

Q: Given that 58% of all gold dealers believe next year will be a good one to speculate in South…

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Q: 3/ A marketing survey indicates that 40% of the population owns an automobile, 45% owns a house, and…

A: Let us denote A= automobile  H= house  Given that P(A)=40%=0.40  P(H)=45%=0.45 P(A and H)=20%=0.20

Q: In a given​ year, 1,895,051 males and 1,792,212 females were born in a certain country. If a child…

A: Given Data: The number of males born is: n(M)=1895051 The number of female born is: n(F)=1792212 The…

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: In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that…

A: e) The sample size n is 20. The probability of U.S adults invest in mutual funds (p) is 0.40.

Q: Consider a deck of well-shuffled deck of cards. Select two cards without replacement. What is the…

A: Total number of cards in deck of well-shuffled deck of cards = 52 Number of diamond cards = 13…

Q: Assume that in a group of 12 individuals, seven prefer football and five prefer cricket. A random…

A: Given : n = individuals = 12 football = 7 cricket = 5 a) Exactly two prefer football : =C27×C15C312…

Q: If 25 percent of students at a particular school use mechanical pencils, what is the probability of…

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Q: About 10% of all adults deliberately do a one-time fling and feel no guilt about it. In a group of…

A: Answer: Given that: p= 0.1 , n= 7 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: From an arsenal of 15 nuclear weapons, five are randomly selected for testing and fired. If the…

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Q: Because of the current economic condition, a firm reports that 30 percent of its accounts receivable…

A: Given,n=5p=0.3X=no.of accounts are overdueX~Binomial (n=5 , p=0.3)P(X=x)=cxn pxqn-x  ; x=0,1,2,....n…

Q: A coach claims that no more than 1/4 of undergrad students will attend football games. What is the…

A: Central limit theorem: The central limit theorem states that the sampling distribution of the sample…

Q: Suppose that 29% of all residents of a community favor annexation by a nearby municipality. The…

A: Consider that p is population proportion of all residents of a community favor annexation by a…

Q: Suppose the proportion of elementary students in Texas that are enrolled in fully remote learning…

A: Given that p = 0.20, n = 100, p(x<=10) = ?

Q: In a deck of 52 cards, what is the probability ot getting king and Jack in two consecutive draws?

A:

Q: 90 students, including JB and Jane, are to be split into three classes of equal size, and this is to…

A: The number of student in the class is 90. Number of parts the class is divided is 3.

Q: About 10​% of the population of a large country is nervous around strangers. If two people are…

A: The probability that a randomly selected people is nervous around strangers is 0.10. The probability…

Q: It is determined that 62% percent of Grade 12s attend school in a particular urban school district.…

A: Given : n = 500 p = 0.62 q = 1 - p  q = 1-0.62 q = 0.38 Here n×p and n×q is greater than 5. hence we…

Q: If a randomly selected lamp is defective, what is the probability that the lamp was manufacturedin…

A: Bayes’ rule: If A1,A2,...,Ak are k mutually exclusive and exhaustive events, such that the sum of…

Q: A securities analyst claims that, given a specific list of 6 common stocks, it is possible to…

A: Given: A securities analyst claims that, given a specific list of 6 common stocks, it is possible to…

Q: When drawing a card from a well–shuffled deck, all fifty–two cards are equally likely. What is the…

A: We know that, in a deck of 52 cards we have 4 suits namely, hearts, diamonds, spades, and clubs.…

Q: Consider two people being randomly selected.  What is the probability that two people have a…

A: There are 12 months in a year Total month in a year = 12

Q: about 7% of the population of a large country is nervous around strangers. If two people are…

A: The probability that both are nervous around strangers is,

Q: If records indicate that 4 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Given that 4 houses out of 1000 are expected to be damaged by fire in any year. Therefore,…

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: In a sample of ten men, it is found that six are physically fit. If four men are randomly selected…

A: General formula of probability is,  Probability = Number of favorable outcomes Total outcomes

Q: Suppose that in the small state of Rhode Island in the USA, the average number of women suffering…

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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: In a given​ year, 1,841,277 males and 2,071,896 females were born in a certain country. If a child…

A:

Q: In a given year 2,103,001 males and 2,325,160 females were born in a certain county. If a child is…

A: Number of males = 2103001 Number of females = 2325160 Total number of child = 2103001 + 2325160 =…

Q: Given that 58% of all gold dealers believe next year will be a good one to speculate in South…

A:

Q: About 10% of all adults deliberately do a one-time fling and feel no guilt about it. In a group of…

A:

Q: Given that 58% of all gold dealers believe next year will be a good one to speculate in S out Africa…

A:

Q: In a certain community, on a particular weekday evening, the television is being watched in 85% of…

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Q: According to the American Automobile Association (AAA), 5.3% of Americans plan to travel by car over…

A:

Q: About 8% of the U.S. population catches the flue each season. Assuming everyine h?as equal…

A: The formula for calculating odds is given below:

Q: In a review class of 80 students, 70 passed the board exam. If a student is selected at random, what…

A:

Q: are selected at random, what is the probability that the majority of the committee members are…

A: here  from given information, total 20 member  12 are teachers and 8 are students here 5 members are…

Q: An entrepreneur owns seven corporations, each with more than $10 million in assets. The entrepreneur…

A: Given,n=7p=0.12q=1-pq=1-0.12=0.88A random variable X~Binomial(n=7 , p=0.12)P(X=x)=7x0.12x0.887-x  ;…

Q: If one student is randomly chosen from the group, what is the probability that the student is female…

A:

Q: If 12 coins are tossed, what is the probability that six of them will be heads (approximately)?

A: Number of times coin is tossed = 12 Probability of getting head in single toss =0.5 Probability of…