A machine produces, on average, 95 per cent of mouldings within tolerance values. Determine the probability that a random sample of 5 mouldings shall contain: (a) no defective (b) more than one defective.

Q: The U.S. Bureau of Printing and Engraving is responsible for printing this country’s paper money.…

A: Here, n=1000 and p=0.5%.

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A:

Q: According to a census, the number of household size in a certain city was represented by a random…

A:

Q: During the mercerization process, the defect rate of kenaf-glass reinforced unsaturated polyester…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute…

A: Let X be the no. of phone calls. μ=3 per minute X~Poisson3

Q: Obtain the probability distribution of X that shows the number of heads in a three tosses of a coin.

A: Consider X be the random variable that could take the values 0, 1, 2 and 3. The sample space could…

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: Seventy-six percent of toddlers get their recommended immunizations. Suppose that 6 toddlers are…

A: Given,p=0.76n=6

Q: at the Fidelity Credit Union, a mean of 5 customers arrive hourly at the drive thru window. What is…

A: Given,The mean no.of customers arrive in an hour (λ)=5A random variable X~Poisson(λ=5)P(X=x)=e-55xx!…

Q: The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally…

A: According our policy we can answer only first three subpart for remaining please repost the…

Q: 1. Find the expected number of heads when three Coins are tossed based on the probability…

A: Given that  Three coin are tossed based on probability distribution.  Sample space. 0 , 1 , 2 , 3…

Q: Electrical engineers recognize that high neutral current in computer power systems is a potential…

A: Givenp=0.10n=5Let "x" be the no. of computers  have a high neutral to full-current load…

Q: A manufacturing process that produces electron tubes is known to have a 10% defective rate. Suppose…

A: X~B(n,p)P(X=x)=nxpx(1-p)(n-x)    x=0,1,2,3,...,nE(x)=mean=npvariance=np(1-p)

Q: Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. Use the…

A: this is binomial distribution mean of binomial distribution = np variance of binomial distribution =…

Q: A three-bulbed flask contains five particles. What is the probability, to three significant figures,…

A: Let us assume X be the random variable representing the number of particles, out of total 5, in the…

Q: The mean number of patients admitted per day to the emergency room of a small hospital is 1. If, on…

A:

Q: A quality control staff selects 195 items from the production line of a company and finds 15…

A: Given that: Total number of items, n=195 Number of defective items, x= 15

Q: What is the probability of no failures in a given day? b. What is the probability of one or more…

A:

Q: An assembly line at a plant produces exactly 10000 widgets a day. Suppose that approximately 1 out…

A: From the provided information, Sample size (n) = 10000 1 out of every 2000 fails a standard test and…

Q: A usb distributor makes large orders, historically it has detected that 10% of the packages arrive…

A: Given that p =0.10 , n =100 a). Between 9% and 12% of the packaging damagedb). Less than 8% of…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Given Information No of headache sufferers (n) = 400 Proportion of Headache sufferers who get relief…

Q: What does the mean of a probability disturbution represent?

A: Any random variable can assume several values and there is a probability associated with each value.…

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: This is a case of binomial distribution with parameters: n = 60, p = 0.05

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A:

Q: 4 percent of the personal computers made by the Apple Company are returned by customers for service.…

A: Given that,  Probability,p= 4% = 0.04 And sample size, n= 64 We know that, According to the given…

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Consider X be a random variable which follows binomial distribution indicates the number of…

Q: Determine the missing values on the valid probability distributions of a random variable X below.

A:

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Your answer is incorrect due to the rounding of decimal places.   __________________________…

Q: . What is the probability that 187 or more of the sample will approve of President Biden’s andling…

A:

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 university planner is interested in determining the percentage of spring semester students who…

A:

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: According to Chebychev's theorem, the probability that the random variable Y differ from the mean u…

A: The provided information is:

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Solution: From the given information, the proportion of headache sufferers who get relief with just…

Q: What is the probability of selecting an applicant who has a score of at least 166?

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Q: What is the probability that a randomly selected male in this age range who died had a congenital…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Of all 3- to 5-year-old children, 56% are enrolled in school. If a sample of 500 such children is…

A:

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Given : n = 51 p = 0.05

Q: The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen…

A: Queuing theory is a branch of mathematics or statistics which basically deals with the different…

Q: Determine the expected number of boys in a family with 8 children, assuming the sex distribution to…

A: Given data Determine the expected number of boys in a family with 8 children assuming the sex…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A:

Q: The average number of calls received by a switchboard in a 30-minute period is 10. a. What is…

A: To calculate: a. What is the appropriate probability distribution for X? b. What is the probability…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Here, the given values are: Calculate the mean

Q: what is the probability that the number of defectives exceeds 170?

A: Given: Sample size (N) = 1000 Number of favorable cases (x) = 170 Population proportion (p0) = 15% =…

Q: The mean number of patients admitted per day to the emergency room of a small hospital is 22. If, on…

A:

Q: A home security company claims that the reliability rate of their home security system is 90%. If…

A: Given data: n = 16 p =0.90

Q: (a) For the next shaft, what is the probability that its diameter is between 8.5 mm and 13.0 mm? (b)…

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.