An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect.   (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars.

Q: A company claims that the number of defective items manufactured during each run of making 100 of…

A: It is given that n=100 and p=0.03.

Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response…

A: The probability that all respond is obtained below:Here, the response rate is considered as a…

Q: Three pebbles are drawn without replacement from a box containing 5 red and 5 white marbles. If X is…

A: Given that three pebbles are drawn without replacement from a box containing 5 red and 5 white…

Q: 5. In a particular country on the African continent, 35% of the population is estimated to have at…

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

Q: 3) A manufacturer of integrated circuits knows from experience that 5% of the components he produces…

A: A manufacturer of integrated circuits knows from experience that 5% of the components he produces…

Q: An automobile manufacturer finds that 1 in every 2000 automobiles produce has a particular…

A: Binomial distribution:The events that has exactly two possible outcomes (success or failure) follows…

Q: . A safety engineer claims that 2 in 12 automobile accidents are due to driver fatigue. Using the…

A: Givena safety engineer claims that 2 in 12 automobiles are due to driver…

Q: A manufacturer of window frames knows from past experience that 10 per cent of the production will…

A: Let X be the random variable from binomial distribution with probability (p) = 10% = 0.10 and sample…

Q: An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at…

A: Given- An employee is selected from a staff of 10 to supervise a certain project by selecting a tag…

Q: The 10-yr and 25-yr floods of a certain river are respectively, 73 m3/s and 84 m3/s. Based on the…

A:

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A: Given, the number of requests for assistance received by a towing service is a Poisson process with…

Q: Illustrate a probability distribution of a random variable X showing the number of face mask sold…

A: Below is the example to illustrate the question .

Q: The Nationwide Motel Company has determined that 70 percent of all calls for motel reservations…

A: Solution

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

A:

Q: Ten percent of the tools produced in a certain manufacturing process turn out to be defective. Find…

A: Ten percent of the tools produced in a certain manufacturing process turn out to be defective

Q: A company manufactures batteries in batches of 40.  If the batches have a 5% rate of defects, use…

A:

Q: The latest poll of randomly selected Pennsylvanians indicates that the probability of someone coming…

A: Let the random variable X denote the no. of Pennsylvanians coming from urban background and it…

Q: In afactory for the production of surveying devices if the percentage of defective devices is 20% of…

A:

Q: In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled.…

A:

Q: Find the mean using the probability-generating function of a binomial random variable with…

A: Let the X be a random variable with two outcomes, success(1) and failure(0). Let the probability of…

Q: The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of…

A:

Q: A shipment of 8 similar microcomputers to a retail outlet contains 3 that are defective. If a school…

A: Complete the probability distribution table for the number of defectives   The probability…

Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response…

A: The probability that none responds is,

Q: In a binomial distribution consisting of 5 independent trials, probabilities of 1 and 2 successes…

A:

Q: In a California community college, 60% of students will transfer to a college in the CSU system. The…

A: From the provided information, 60% of students will transfer to a college in the CSU system that is…

Q: A company purchases machine components after randomly selecting 15 components and testing for…

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

Q: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…

A: Given that.   X~N( μ , ?^2 )   μ=240     , ?=20   Z-score =( x - μ )/?

Q: A vendor of seeds has purchased a stock of seeds of an exotic flower, and wants to estimate the…

A: Let X be a random variable such that X~Bin15, p Therefore, the likelihood is given as L=…

Q: At a particular hospital, records show that each day, on average, only 80% of people keep their…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the…

Q: If the random variable X has a Poisson distribution where the lambda equals 7, Then the probability…

A: Givenλ=7x~poisson(λ=7)P(X=x)=e-λ×λxx!   x≥0

Q: (b) Ten per cent of the tools produced in a certain manufacturing process turn out to be defective.…

A:

Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response…

A: The probability that exactly one responds is,

Q: In a survey of college graduates, 61% reported that they entered a profession closely related to…

A: It is given that n=8 and p=0.61.

Q: Twenty five percent of the tools produced in a certain manufacturing process turn out to be…

A: Given: P( defective) = p =  0.25 n = 10

Q: 12. From past experience, a company knows that, on average, 5% of their concrete does not meet…

A:

Q: A study conducted at a college shows that 52% of the school's graduates find a job in their chosen…

A:

Q: 5 out of 100 items manufactured by a machine are defective. If a random sample of 60 items are…

A: Given information- We have given a problem of the binomial distribution. Probability of items…

Q: In a particular country on the African continent, 35% of the population is estimated to have at…

A: Let X denote the number of people having at least one smartphone Then given that: X~Binomialn=40,…

Q: A factory produces pen-drives of which 35% are working perfectly. Suppose 20 pen- drives are tested…

A: Solution : Given : p = 0.35             n = 20 Let, X : Number of pen drives working perfectly.…

Q: A. Suppose a certain survey reported that 35% of Zambian households have at least one high…

A: Giveni)p=0.35n=16q=1-p=1-0.35=0.65using normal approximationMean(μ)=n×p=16×0.35=5.6standard…

Q: The experience of a house agent indicates that he can provide suitable accommodation for 75% of the…

A:

Q: A manufacturing company takes a random sample of n = 100 bolts from their production line. X is the…

A:

Q: A transportation department reported that all domestic airlines in on-time arrivals for domestics’…

A:

Q: A fabric manufacturer believes that the proportion of orders for raw material arriving late is p =…

A: β = Type II error

Q: A worn machine is known to produce 10% defective components. If the random variable X is the number…

A: Here, n = 4 and p = 0.1

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A:

Q: A shipment of 10 similar microcomputers to a retail outlet contains 4 that are defective. If a…

A: Given : Total number of  micro computers = 10 Number of Working microcomputers = 6 Number of…

Q: At Cititon Labs, 12% of subjects exposed to epsilon radiation developed superpowers. Using a normal…

A:

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

A: Introduction: If X ~ Poisson (λ), where λ is the rate of occurrence of the event of interest in 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.