A random sample of 8 articles is taken from a large  batch of manufactured articles and the batch is accepted is accepted if fewer than 3 defective particles are found in the batch  ,Given that 15% of the articles in the batch are defective , find to correct 3 significant figures the probability that the batch is accepted  With detailed steps please

Q: A four-sided, fair die is rolled 35 times. Let X be the random variable that represents the outcome…

A: Let X be the random variable that represents the outcome on each roll. The possible results of the…

Q: A production process manufactures items with weights that are normally distributed with mean of 15…

A: Let X be random variable denoting the weight of manufactured item. X follows Normal distribution…

Q: Based on historical data, your manager believes that 39% of the company's orders come from…

A:

Q: According to a recent study, the average night’s sleep is 8 hours. Assume that the standard…

A: Solution-: Given: μ=8,σ=1.1 We want to find, (a) P( a randomly selected person sleeps for more than…

Q: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of…

A:

Q: rare genetic disease is known to be carried by 30 people among 10000 people in the society. a) In a…

A: Provided information is, a rare genetic disease is known to be carried by 30 people among 10000…

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

A: Given,A random variable X~Poisson(λ=8)P(X=x)=e-8 8xx!  ;    x≥0

Q: Before every​ flight, the pilot must verify that the total weight of the load is less than the…

A: From the provided information, Mean (µ) = 182.2 lb Standard deviation (σ) = 36.2 lb Let X be a…

Q: Determine if the random variable from the experiment follows a Binomial Distribution. An investor…

A:

Q: A furniture company wants to know what percent of their customers are satisfied with the furniture…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: automatic machine in a manufacturing process is operating properly if the lengths of an important…

A: Given Data Population Mean,μ = 115.0 Population Standard Deviation,σ = 5.4

Q: to make 12 saves. What is the probability that the lacrosse goalie will make at least 9 saves? Let…

A: X be the random variable that denotes the number of saves that are made by the lacrosse goalie.  N:…

Q: What are the expected value and standard deviation of the number of washing machines in the sample…

A: Provided information is, only 10 % of all washing machines of a certain type need replacement during…

Q: A study involving stress is conducted among the students on a college campus. The stress scores…

A: The mean is, μ=a+b2=1+52=3 The mean is 3. The standard deviation is, σ=b-a212=5-1212=412=1.1547 The…

Q: nt, the number of experiments we conduct is 50 and the probability of occurrence is 0.2. Determine…

A: X binomial random variable can be approximated to the normal distribution with parameters:

Q: Before every flight, the pilot must verify that the total weight of the load is less than the…

A: We have to use sampling distribution of sample mean.

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with…

A: GivenMean(μ)=9.4standard deviation(σ)=1.5sample size(n)=40

Q: A product is considered satisfactory if it makes, on average, no more than 0.30 error per hour. The…

A:

Q: A manufacturing company operates a particular machine 200,000 times per year. In the first 2 years…

A: Given information: It is given that a manufacturing company operates a particular machine 200,000…

Q: Before every flight, the pilot must verify that the total weight of the load is less than the…

A: From the provided information, Mean (µ) = 177.9 lb Standard deviation (σ) = 38 lb Let X be a random…

Q: The probability that a part produced by a certain factory's assembly line will be defective is…

A: This type of binomial probability of success can be found out by using the formula p(x) = Cxnpxqn-x

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

A: Given that.   X~N( μ , ?^2 )   μ=117     , ?=5.2   Z-score =( x - μ )/?

Q: The normal rate of infection of a certain disease with the children is found to be 20%. In an…

A:

Q: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the…

A: The mean number of major hurricanes to strike a certain country's mainland per year is about 0.4…

Q: IUSS pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8…

A: We have given that  X~N( μ , ?^2 )   Z-score =( x - μ )/?

Q: A coin is flipped repeatedly, and the number of tails is considered as the success. Determine the…

A:

Q: Before every flight, the pilot must verify that the total weight of the load is less than the…

A: Given: μ=176.2, σ=39.4, n=43 The corresponding z-value needed to be computed: The probability that…

Q: For a software company, a candidate has a success rate of p=0.3for each attempt in their interview.…

A: Givenp=0.3n=5x~Binomial(n=5,p=0.3)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,....,n

Q: According the World Bank, only 8% of the population of Uganda had access to electricity as of 2009.…

A: Let X = the number of people who have access to electricity. 1. What is the distribution of X? X…

Q: An urn contains 7 white and 3 red balls. Two balls are drawn together at a time. Find the…

A:

Q: What is the probability that the sample proportion is between 0.3 and 0.42?

A: HERE GIVEN ,  Based on historical data, your manager believes that 35% of the company's orders come…

Q: A corporation receives a shipment having 18 pieces out of which 4 are substandard. If 6 pieces are…

A: This is a binomial distribution problem n = 6 p = 0.22 q = 1 - p = 0.78 where, P(X=x) = nCxpxqn-x

Q: What is the most appropriate probability distribution to use? What is the probability that 60 mRNA…

A: Transcriptional bursting is a fundamental property of genes in which transcription from DNA to mRNA…

Q: The average number of traffic accidents in a certain city in a seven-day period is 28. All traffic…

A: Given the average number of traffic accidents in a certain city in a seven-day period is 28. All…

Q: A manufacturing company regularly conducts quality control checks at specified periods on the…

A: We have to find given probability.

Q: The amounts of electricity bills for all households in a city have a skewed probability distribution…

A: From the provided information, Mean (µ) = 138 Population standard deviation (σ) = 30 X~N (138, 30)

Q: The Gas company bought a new machine. The weight of metal components in it are normally distributed…

A: Assume, X be the random variable representing the weights of metal components (in lbs). It is…

Q: In a casino, they introduced a game where a continuous random number generator will produce a number…

A: From the given information, the continuous random number generator will produce a number between 0…

Q: A card is drawn at random from a deck of cards, find the probability of getting a Face Card (or Ace…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the…

A: Formula : poisson distribution is given by

Q: What is the probability that the state will be hit by at least two major hurricanes in a single​…

A:

Q: Twenty-five percent of the employees of a large company are minorities. A random sample of 7…

A:

Q: 1,000 coins were each flipped 8times and the number it landed on heads was recorded for each coin.…

A: (a). Test whether the distribution of coin flips match the expected frequencies from a binomial…

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with…

A: Given :  Mean = 8.7 Standard deviation = 1.8 n = 40

Q: A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance…

A: Solution: Let X be the number of tablets does not meet the required specifications. From the given…

Q: If our value is not biased, the probability that the sampling error will be a negative value (or the…

A: Here use basic of sampling error and sampling distribution

Q: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the…

A: (a)   Obtain the probability that exactly one major hurricane will strike the main land.   The…

Q: Some exceptionally large snakes, the reason for their size yet unknown to scientists, were studied…

A:

Q: The demand for a replacement part is a random variable having a Poisson probability distribution…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.