A survey found that 0.07% of the people in a city are infected by the COVID virus. If we randomly select 3100 people, using Poisson distribution -) Find the probability that (a) at most 3 people are infected by the virus. ; Find the variance of the (b) number of people infected by the virus.

Q: Give two ways to compute the variance of a continuous random variable.

A: 1.Using expectation formula i.e.      here E(X) of a continuous variable X  can be calculated as…

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A: Solution: Let X be the tyre lifespan for economic sedan car. From the given information, X follows…

Q: 1.) enumerate the steps for a hypothesis test for a population mean when the variance is known.

A: STEPS FOR HYPOHESIS TEST FOR A POPULATION MEAN 1) State the hypothesis i.e. Null and Alternative…

Q: The number of planes arriving per day at a small private airport is a random variable having a…

A: Given: X~P28.8

Q: In a certain vaccination site, the service time for individuals before they were given a vaccine…

A: Given problem is : In a certain vaccination site, the service time for individuals before they were…

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: In a tech company, the time it takes for 1 worker to build a PC is a random variable with an AVERAGE…

A:

Q: If random samples, each with n = 4 scores, are selected from a normal population with μ = 80 and σ =…

A: Given,   Sample size = 4 Mean = 80 Standard deviation = 10   The objective is to find the standard…

Q: The number of people that buy packages of Hostess Ding-Dongs at Walmart in one hour is Poisson…

A: Given: X~P(λ)λ=5

Q: The center for Disease Control and Prevention reported in 2012 that 1 in 88 people had been…

A: Given that  The center for disease control and prevention reported in 2012 that  1 in 88 people had…

Q: The number of utility bills delivered correctly per batch by the postman is modeled by a Binomial…

A: HERE AS PER GUIDELINES I AHVE CALCULATED FIRST MAIN QUESTION  A. The number of utility bills…

Q: The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6…

A:

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A: Given: Mean μ=30,000 S.D σ=4500 n =100 Probability that mean lifespan of the tyres for these 100…

Q: As a senior high school student, how much time do you spent in studying and answering the activities…

A: The following information has been given: The population mean is μ=25. The population standard…

Q: Can a binomial random variable X have a mean = 7 and the variance 11. Why or why not?

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of…

A: Poisson distribution is a discrete function which is used to measure the probability of an event…

Q: A survey found that 0.05% of the people in a city are infected by the COVID virus. If we randomly…

A: Given that , probability, p= 0.05% = 0.0005 n= 5000 So,  X~ binomial (5000,0.0005) Hence, mean = np…

Q: A lumber inspector has found that the face of 2 by 8's lumber produced at her mill averages 4 knots…

A: Given: λ=4 No. of knots on a board follows Poisson distribution

Q: The average number of flaws in a 100m optic cable is 2.2. If the number of flaws follows a Poisson…

A: Given Information: The average number of flaws in a 100m optic cable is 2.2 If the number of flaws…

Q: Among 110 Grade 9 students at a public high school, only 25 are athletes. if 10 of the students are…

A: The sample of the number of students is n=10. The probability of 25 students are athlete,…

Q: A study found that consumers in the 18-24 age group go shopping 6.9 times a month on average. For…

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Q: The number of cracks in a section of interstate highway that are significant enough to require…

A:

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

A:

Q: Derive formulas for the mean and variance of a Poisson random variable with parameter λ using its…

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Q: The number of road construction projects that take place at any one time in a certain city follows a…

A: Given : mean = λ = 7 Poisson distribution  = e-λ λxx!

Q: The results of a study showed that heterosexual women, during ovulation, were significantly better…

A: Given, on average women correctly identified the marriage status of about 70% of the 100 men. The…

Q: Suppose that the number of customer that enter a bank in an hour is a Poisson random variable, and…

A: Let X be poison random variable P(X=0)=0.05 variance of X=?

Q: probability that the 7th message is received within 20 seconds?

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Q: A hypergeometric and a Poisson probability distribution have the same mean. Which has the larger…

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Q: Suppose that 1 in 1,000 doctors make an incorrect diagnosis of a patient’s illness. If 10,000…

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Q: Suppose we are interested in the relationship between an individual’s brown hair and ski color.…

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Q: The results of a study showed that heterosexual​ women, during​ ovulation, were significantly better…

A: One prop Z test is applicable

Q: 2. An American Association of Individual Investors survey found that 25% of AAI members had…

A: We have given that the random variable X i.e. shares is follow Binomial distribution with parameters…

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

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Q: The number of crashes of a mainframe computer in a college follows a Poisson distribution with an…

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Q: In a poisson distributed character, the mean number of events is 6. Find the variance.

A:

Q: As a Senior High School Student, how much time do you spent in and answering the activities in your…

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Q: he number of times a customer uses an atm has an unknown distribution with mean = 7 and variance =…

A: The probability of observing a sample mean between 6.4 and 6.8 = 0.2184

Q: Assume that hybridization experiments are conducted with peas having the property that for​…

A: It is provided that hybridization experiments are conducted with peas having the property that for…

Q: As a Senior High School Student, how much time do you spent in studying and answering the activities…

A: Standard normal distribution: Let x be the continuous random variable and it said to follows normal…

Q: A bakery makes gourmet cookies. For a batch of 4800 oatmeal and raisin cookies, how many raisins…

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Q: Consider a Bernoulli Experiment with 7 trials. If the expected number of “successful” trials is 4,…

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Q: The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson…

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Q: The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of…

A:

Q: The results of a study showed that heterosexual​ women, during​ ovulation, were significantly better…

A: Given Population proportion=0.67 n=100

Q: Suppose people immigrate into a territory at a Poisson rate of 2 per day. Assume that 40% of…

A: Given: X ~ Poisson(2*40%)  => X ~ Poisson(0.8)

Q: The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed…

A:

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Poisson distribution  the probability mass function   f(x) = e-λλxx!  , x=0,1,2,... given λ=7.6…

Q: Suppose that the fraction of defective modems shipped by a data-communications vendor has an…

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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.