Suppose that families migrate to an area at a Poisson rate of 2 = 2 per week. If the number of people in each family is independent and takes on the values 1, 2, 3, 4 with respective probabilities 1 1 3' 3' 6 1 1 then find the expected value - - and variance of the number of individuals migrating to this area during a fixed five-week period.

Q: Suppose 6 of 15 students in a grade school develop influenza, whereas 20% of grade school class…

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Q: Suppose that it is known that the number of items produced in a factory during a week is a random…

A: Given X: Week's Production μ = 50σ2 = 25 ⇒ σ=5

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Q: Suppose that a system contains a certain type of component whose time, in years, to failure is given…

A: Given Data: T~ Exponential (1/5)   a) To Find: P(T>8) P(T>8)=1-P(T<8)=1-(1-e-15×8)=0.2019

Q: Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α= 4 per…

A: The Poisson distribution is used to calculate the probability of getting r number of…

Q: nufacturer knows that their items have a normally distributed length, with a mean of 10.6 inches,…

A: Given data,Mean μ=10.6sd  σ=2P(X<10.4)=?

Q: Suppose a simple random sample of size n=42 is obtained from a population with μ=65 and σ=16. ​(a)…

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Q: Suppose 6 of 15 students in a grade school develop influenza, whereas 20% of grade school class…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted.... Given…

Q: Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is…

A: Given data,μ=2.62σ=0.91If n=25P(2.62<X<3)=?

Q: Suppose 75% of the age group 1 through 4 years regularly utilize seat belts. Find the probability…

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Q: Workers at Lyman Limited arrive at work at an average rate of 8 workers per hour. Assuming the…

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Q: Let be a geomerric random variable with prf y=1,2,3... where 9 Find. estimator using matimum…

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Q: Suppose cars arrive at a parking lot at a rate of 50 per hour. Let’s assume that the process is a…

A: Solution: Let X be the number of cars that arrive at this parking lot. From the given information, X…

Q: Suppose it is known that in a certain large human population cranial length is approximately…

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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: Suppose it is known that a company completes a certain type of order in average of 48 minutes with a…

A: Let the associated random variable with type I and type II be X1 and X2 respectively. So, X̄1 ~…

Q: it is Known that a company completes a certain type of order in average of 30 minutes with a…

A: Given  Type 1  mu1=45, n1=35, sigma1=15 Type 2 mu2=30,n2=40, sigma2=20 We want to find the…

Q: The change in the weight for each of n = 5 rats subjected to some treatment has been recorded as: 0…

A: Let, X: The weight of rat subjected to some treatment. n = 5 Given data is, X 0 2.9 -2…

Q: It is reasonable to model the number of winter storms in a season as with a Poisson random variable.…

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Q: Suppose that on average 2 people in a major city die each year from alien attack. Suppose that each…

A: Poisson approximation is given by:

Q: Suppose it is known that the weight of a certain population of individuals are approximately…

A: Let, X=the weight of a certain population Given that X follows a normal distribution with mean=80…

Q: Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we…

A: From the given information, n1=6 n2=12 σ1=σ2=14 pooled variance: spooled2=(n1-1)σ12+(n2-1)σ22n1+n2-2…

Q: Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was…

A: Given that: X is normally Distributed with mean µ = 13.3 and standard deviation σ = 1.9 By using…

Q: Two clerks are available to serve m client. Initially, each clerk will serve one client. Whenever a…

A: An exponential distribution is a continuous distribution that models the probability of the…

Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

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Q: Suppose it is known that in a certain large human population cranial length is approximately…

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Q: Harper's Index reported that the number of (Orange County, California) convicted drunk drivers whose…

A: Given Information: Probability of a repeat offender is still p=1560 r is the number of repeat…

Q: Suppose X1,X2,...,X, from a real-valued random variable X with unknown mean µ and standard deviation…

A: Suppose X1,X2,X3,.....Xn from a real-valued random variable X with unknown mean µ and standard…

Q: A real estate agent believes that the values of houses in the neighborhood she works in have…

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Q: The television picture tubes of manufacturer A have a mean lifetime of 6.5 years and a standard…

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Q: A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of…

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Q: Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with…

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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: Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.

A: The probability distribution function for a uniform distribution in interval a,b is given by…

Q: A pencil manufacturer claims that its pencils have lengths that are normally distributed with a mean…

A: From the provided information,

Q: Suppose it is known that in a certain large human population cranial length is approximately…

A: Solution: Let X be the cranial length. From the given information, X follows normal distribution…

Q: Suppose that we have disjoint normal populations A and B with equal population variances.   Suppose…

A: Given Data: n1=4        n2=9σ12=6        σ22=6   Calculating population pooled variance:…

Q: Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the…

A: Assume a random variable X, which is the weight of a particular type of ripe tomato.

Q: Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

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: Consider two independent samples — the first of size 10 from a normal population having variance 4…

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Q: Suppose X1,...,X, is a random sample from an exponential distribution with mean 0. If X = = 17.9…

A: Given Information: X1, X2......Xn is a random sample that follows exponential distribution with mean…

Q: Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was…

A: Given that: X is normally Distributed with mean µ = 13.3 and standard deviation σ = 1.9 By using…

Q: If X is distributed as normal with μ = 20 and σ2 = 40 and a random sample of 16 variates is drawn…

A: According to the provided information, μ = 20 σ2 = 40

Q: Suppose that the random variables X₁,..., X and Y₁,...,Y, are random sample from independent normal…

A: It is given that Xi~N(3,8), i=1, 2, … , 8, where 3 is the mean and 8 is the standard deviation. The…

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: From the given information, Consider, x be the height of boys and y be the height of girls.…

Q: The change in the weight for each of n = 5 rats subjected to some treatment has been recorded as: 0…

A: Given : n = 5 data are 0 , 2.9 , -2 , 2.7 , 2.3

Q: The distance between large cracks in a road follows a Poisson Process with an average of 3 cracks…

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.