If the probability of a machine producing a defective part is 0.05, what is the probability of finding exactly 5 defective parts from a sample of 100?

Q: What is the probability that a random variable will have values of three or less?

A: Given that  Probability mass function  X 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.06 0.14 0.16 0.14 0.12…

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: In a dental study on children it was found that the probability of the child population having any…

A: P(C) = p = 2/3 P(Not C) = q = 1-p= 1/3

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

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Q: 2. In a factory that produces pieces of ready-made concrete, if the percentage of producing…

A: Given,n=5p=0.6q=1-p=1-0.6=0.4X=no.of defective piecesX~Binomial (n=5 , p=0.6)P(X=x)=nx px qn-x    ;…

Q: The probability of getting exactly 1 girl in 8 births

A: Let the random variable x is number of girls. The probability of getting a girl and boy are equal.…

Q: What is the probability of getting exactly two Heads in a single throw of three coins?

A: given experiment: a single throw of three coins.now, sample space…

Q: When a single die is rolled, what is the probability of getting a number less than 6.

A: If a single die is rolling then sample space (s) is,  s = { 1, 2, 3, 4, 5, 6 } = 6 outcomes Then,…

Q: If you are interested in the probability of two successes out of five trials, what is the correct…

A: Given  Let p be the probability p=0.30,  n=5. X~Bin(n=5,p=0.30) P(X=2)=?

Q: What is the probability that a randomly selected elephant will have a weight that is at most 6.42…

A: Given Average =6.42 Standard deviation=1.07

Q: After rolling a fair twenty-sided die 200 times, the observed (or experimental) probability of…

A: For a 20-sided fair die, the probability of obtaining a 20 is 1/20 = 0.05.

Q: In any given sampling, there is a 54% chance that a new invasive fish to be sampled along with other…

A: Probability: Probability is a chance factor that can occurs at every outcome of a random experiment.…

Q: For the experiment of rolling an ordinary pair of​ dice, what is the probability that the sum will…

A: When two dice are rolled then the sample space is   n(S)=36

Q: About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability…

A: Given: About 8% of the U.S. population catches the flu each season.

Q: In an experiment, positive and negative values are equally likely to occur. The probability of…

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Q: ·An unbiased die is thrown 8 times. What is the probability of getting a six in at least one of the…

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Q: In a factory that produces pieces of ready-made concrete, if the ratio of production of defective…

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

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Q: If a load can be modeled as a uniform random variable ranging from 70 to 226, what is the…

A: Given that,  A load can be modeled as a uniform random variable ranging from 70 and 226.

Q: In the experiment of rolling a die, what is the probability of obtaining an even number given that…

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Q: A study shows that 15% of adult males don’t wash their hands in a public restroom. We take a random…

A:

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: In the experiment of rolling two dice, what is the probability that the absolute value of the…

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Q: If the percentage of sulfate-resistant concrete pieces in one of the factories is 25%, how many…

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Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given data: The expression for the probability of rolling a two, four, or six is equally likely…

Q: According to a study conducted by the Gallup organization, the proportion of Americans who are…

A: It is an importance stance in probability distribution . Binomial distribution is a discrete…

Q: Suppose a large shipment of microwave ovens contained 14 % defectives. If a sample of size 278 is…

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Q: 1) The number of cracks in a 105-km expressway is 30. What is the probability that there would be no…

A: Solution.

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: In a factory that produces blocks of ready- made concrete, if the percentage of production of…

A: Given data,Sample size n=5Percentage of production of defective blocks is p=0.6Let X be event that…

Q: If a particular shipment of thousands of aspirin tablets actually has a 6​% rate of​ defects, what…

A: Given datap=0.06n = 21Applying Binomial theoremProbability of x success out of n trial is given by

Q: A die is rolled six times.  What is the probability of obtaining two 5's?

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: A 6-sided die is rolled twice. What is the probability of showing a 5 on both rolls? Your answer is…

A:

Q: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

A: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

Q: Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6…

A: As given, the average number of bus arrivals at the Cubao Station is 6 per 15-minute period. This…

Q: What is the probability of throwing a three with a single die 4 times out of 5 trials?

A:

Q: It is estimated that 8.3% of all Americans have diabetes.  Suppose that a random sample of 74…

A: It is given that:

Q: Consider the case where the predetermined average number of bus arrivals at cubao station is 6 per…

A: The pre determined average number of bus arrivals at cubao station is 6 per 15 minute period.

Q: his problem involves students who have taken Calculus in high school. Assume that 10 percent of…

A: Let define the events A = Students who have taken Calculus in high school A= Students who did not…

Q: If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that…

A:

Q: A random sample of 270 homes was taken from a large population of older homes to estimate the…

A: Given: A random sample of 270 homes was taken from a large population of older homes to estimate the…

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 fair die is rolled two times. What is the probability that both rolls are 6?

A:

Q: the probability of rolling a "4" exactly 25 times?

A: rolling a fair die 100 times,  And here  Each roll independent from each other  Finite number of…

Q: f 2 percent of the rifles in an arsenal are defective, what is the probability that a random sample…

A: Given that  2 percent of the rifles in an arsenal are defective . P = 2% = 0.02 Sample size (n) =…

Q: According to a poll of​ adults, about 40​% work during their summer vacation. Assume that the true…

A: From the given information, Sample size (n) = 500 Probability of success (p) or adult work during…

Q: If the rework percentage increases to 4%, what is the probability that all 20 samples do not require…

A: 1. Let , X be the number of parts in the sample that does not require rework. Here , X→B(n=0.01 ,…

Q: The probability that an individual is left-handed is 12%. In a randomly selected class of 30…

A: The following information has been given: The probability that an individual is left-handed is 12%.…