A manufacturing machine has a 4% defect rate. If 8 items are chosen at random, what is the probability that at least one will have a defect?

Q: in a small private school, 4 students are randomly selected from 15 available students. what is the…

A: The number of combinations is: 15C4 = (15! / (4! (15−4)!) 15C4 = 1365

Q: In a small private​ school, 4 students are randomly selected from 11 available students. What is the…

A: Given that, N=11 R=4 Number of youngest students among the available students = 4

Q: in a beauty pageant with 10 finalists and with equal chances of being chosen, what is the…

A: All the 10 finalist are equally likely to be chosen as winner, for equally likely outcomes the…

Q: In rolling a pair of fair dice, what is the probability that a sum of 7 is rolled before a sum of 8…

A: Let A denotes the sum of 7 and Let B denotes the sum of 8

Q: In a large population, 54 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given data: 54% of the people have been vaccinated.

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: If one card is randomly chosen from a standard deck, what is the probability that a black 7 is…

A: Introduction: Suppose an experiment has a total of n mutually exclusive and exhaustive outcomes. If…

Q: What is the probability of randomly selecting a 3-children family with two girls?

A: We will first list all possible outcomes in the sample space, then we will use following definition…

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: What is the probability that a six-card poker hand contains 3 pairs? What is the probability that an…

A: The probability that a six card poker hand contains 3 pairs: P =…

Q: In a Toyota factory, 137 out of 129,000 cars have faulty brakes. If 50 cars checked at random, what…

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Q: If one card is randomly chosen from a standard deck , what is the probability that a 6 is chosen,…

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Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 686 plants with white…

A: Given, Total number of flowers =686  Plants with white flowers  plants with purple flowers =1076…

Q: If an urn has 5 white balls and 10 red balls, what is the probability that 5 randomly selected balls…

A: Given that there are 5 white balls and 10 red balls. Total number of balls is 5+10=15. And 5 balls…

Q: In a large population, 69% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Sample size (n) = 5 p(people have been vaccinated) = 0.69 Formula: Let "X" be the people that…

Q: If a single student is selected at random, what is the probability of "has a dog" OR "does not have…

A: It is given that Number of students with dog = 16 Number of students without cat = 78 Number of…

Q: In a Business Statistics class, there are 15 girls and 11 boys. On a test 2, 9 girls and 6 boys made…

A: Given: In a business statistics class there are 15 girls and 11 boys on a test 2, 9 girls, and 6…

Q: What is the probability of selecting one person at random who is a smoker?

A: From the provided information, Total person = 100 Number of persons who smoke = 54

Q: If an urn has 10 white balls and 5 red balls, what is the probability that 4 randomly selected balls…

A: Hypergeometric distribution is given by

Q: When one is randomly sampling four items from a population, what is the probability that all four…

A: (a). Compute the probability that all four elements will come from the top quartile of the…

Q: suppose we select one card from a standard deck of 52. what is the probability of selecting a club?

A: given data select one card from a standard deck of 52 cards. p(selecting club) = ?

Q: If a second card is drawn, what is the probability of drawing a 7 given that a jack was drawn first?

A: Solution: A deck of cards contain 4 jacks and 4 seven numbered cards.

Q: In a family of 6 children, what is the probability of getting exactly 5 boys?

A: Given: n=6probability of boy p=0.5probability of girl q=0.5 The probability of getting exactly 5…

Q: In a small private school, 3 students are randomly selected from 11 available students. What is the…

A: Assume that all the 11 available students have different ages. S ne the sample space of selecting 3…

Q: If 9 out of 1501 people have a certain genetic defect, what is the probability of selecting three…

A:

Q: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

Q: In a city of 120,000 people there are 20,000 Norwegians. What is the probability that a randomly…

A: Total number of people, N=120,000 Number of Norwegians, n=20,000 The objective is to find the…

Q: If 11 seeds are planted, what is the probability that exactly 4 don't grow?

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Q: During the year about 15 percent of the population carry the flu virus. Supposed that 5 children…

A:

Q: In a small private​ school, 4 students are randomly selected from 18 available students. What is the…

A: Solution: Given information: n= 18 available students  4 students are randomly selected.

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: What is the probability of Selecting an all male five person jury from a pool of 10 men and 10 women…

A: Number of men=10  Number of female=10 We want to find the probability of selecting an all male five…

Q: what is the probability of selecting a diamond from a standard deck of cards?

A: Here we need to find the probability of selecting a diamond from a standard deck of cards. We know…

Q: in a classroom of 30 students, what is the probability that at least two of the students share a…

A: Introduction:The probability of an event is the number of cases favorable for the event, divided by…

Q: If the selected chip is white, what is the probability that the other chip in the bowl is red?

A: It is given that the white chip is selected. Hence, either bowl B or bowl C is chosen. (Bowl A has…

Q: What is the probability of drawing four hearts in a row without replacement?

A:

Q: A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given: Number of Americans =19 Number of Canadians =131

Q: What is the probability of drawing either an ace or a heart in a single draw from a deck of 52…

A: The number cards in a standard deck of cards is 52.

Q: If a card is picked at random from a standard 52-card deck, what is the probability of getting a…

A: A deck consists of 52 cards. n(S)=52 P(Black card or Queen)=?

Q: A high school choir has 42 members, of which 21 are tenors. What is the probability that a randomly…

A: We have given that,  Total number of members = 42 Total number of tenors = 21 Then,

Q: If one card is randomly chosen from a standard deck, what is the probability that a 6 or a diamond…

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Q: What is the probability of rolling a 3 on a six-sided die and a two-sided coin landing on heads?

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Q: What is the probability that a randomly selected song had 501-1,000 plays and was rock?

A: The row totals and column totals are given in the following table:

Q: A nylon connector manufacturing plant yields 14 % defective items. If 1000 connectors are randomly…

A: It is given that p = 0.14 and n =1,000.

Q: Eight percent of Americans have a master's degree. If five Americans are selected at random, what is…

A: Given,n=5p=0.08A random variable X~Binomial(n=5 , p=0.08)P(X=x)=5x0.08x1-0.085-x   ;  x=0,1,..5

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: In a small private school, 5 students are randomly selected from 14 available students. What is the…

A: Given that, 5 students are randomly selected from 14 available students.Here, we can use binomial…

Q: In a company that makes sports bikes, 90% of the bikes pass final inspection and 10% fail and need…

A:

Q: If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected…

A: From the given information,   Total members = 60 Number of women = 10 Number of men = 60 -10 = 50