5)- Let y1, y2, ., yn be a random sample of n observations from a normal distribution with mean 0 and unknown variance o2. Find the maximum likelihood estimator of o2.

Q: Suppose Y₁, Y₂,,Y, is an iid sample from a Poisson(A) distribution, where >> 0. Is Y a consistent…

A: Defination: ȳ is an consistent estimator of λ iff  E(ȳ)=λ as n is large. V(ȳ)=0 as n is large.

Q: Let Y,, Y2, Y3, and Y, be independent, identically distributed random variables from a population…

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Q: Let p1 and p2 be the respective proportions of women with iron-deficiency anemia in each of two…

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Q: Let x be the observed mean of a random sample of size n from a distributionhaving mean μ and known…

A: Confidence interval on μ is given by  x¯-za2σn≤μ≤ x¯+za2σn                  ...........(1)

Q: Two iid Gaussian random variables X, and X, have mean my and variance . Their sample mean and sample…

A: Given information: Given that X1 and X2 are two iid Gaussian random variables with mean mx and…

Q: Please see picture

A: In this context, it is assumed that the n students are selected at random without replacement from a…

Q: Suppose Y₁, Y2,, Yn is an iid sample from a Poisson(A) distribution, where > 0. Is Y a consistent…

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Q: A simple random sample of size n= 42 is obtained from a population with u = 68 and o = 14. (a) What…

A: Given ,     mean (μ) = 68  standard deviation(σ)= 14  sample size(n) = 42a) The population must be…

Q: If the random variable X distributed according to the normal distribution with known variance = W ,…

A:

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 a simple random sample of size n=48 is obtained from a population with μ=61 and σ=16.​(a)…

A:

Q: Suppose we wish to study the mean u of a population r1,..., IN through simple random sampling (with…

A: Given information: The investigator is specially interested to study the mean µ of the population…

Q: 9. If the random variable X is distributed through the Normal distribution with mean =µ and unknown…

A: In question, We have that X is a random variable follows Normal distribution. And a random sample…

Q: Suppose that X and Y are random variables where the conditional expected value of Y given X is given…

A: # random variable x and y such given  E(y/x)=3*X+6  E(x)=0 & var(x)=9  Then to find minimum…

Q: Let X1, X2,..., X, be a random sample from f(x; 0) = 0e-0¤ Io,0)(x). Find a 100y or (1 – a)100…

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Q: Let p, and p, be the respective proportions of women with iron-deficiency anemia in each of two…

A: Given that,sample one, x1 =469, n1 =1800, p1= x1/n1=0.2606sample two, x2 =531, n2 =2000, p2=…

Q: There are X candidates for becoming a Jedi youngling where X is a poisson random variable with…

A: Given: X~P(λ)   Total number of candidates for becoming a Jedi youngling = X The probability of…

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: please answer the attached question

A: From the information, given that Mean of sampling distribution of the sample mean is

Q: For an initial investment of 100, an investment yields returns of Xi at the end of period i for i =…

A: Given : μ= Population Mean =60σ2=Population Variance=25 Initial investment =100

Q: Suppose that independent random samples of size nfrom two normal populations with the known…

A:

Q: A simple random sample of size n= 14 is obtained from a population with u = 69 and o = 18. (a) What…

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Q: Suppose X is a binomial random variable with n=100 and p=0.3. Estimate P(X=40) by using the normal…

A:

Q: Let Y1, Y2, Y3, Y4, and Y, be i.i.d. random variables from a population with mean u and variance o?.…

A: given data let y1,y2,y3,y4 and y5 be random variablesand givenW=18y1+18y2+15y3+15y4+720y5

Q: Let X1,..., Xn be an iid random sample from the Binomial(k, p) distribution, where p is known but k…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let X1, X2, .. , Xn be a random sample from the normal distribution with unknown mean, µ and known…

A: Normal distribution: A continuous random variable X is said to follow normal distribution if the…

Q: 6. Let X₁, X₂, ..., X₁ be a random sample from Normal(0,0), 0 > 0. Propose a pivotal quantity and…

A: Given that X1, X2, . . ., Xn be a random sample from Normalθ,θ, θ>0.

Q: 2.2. Let Y₁, Y₂... Yn denote a random sample from a gamma distribution with each Y~gamma(0; B) Pak…

A:

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: 25. From a point on the circumference of a circle of radius a, a chord is drawn in a random…

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Q: Prove the 2-tailed case of the Two-Sample t-test, i.e., let X₁, X2,..., X be a random sample of size…

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Q: Suppose that families migrate to an area at a Poisson rate of 2 = 2 per week. If the number of…

A: Let Mi denote the number of people in the ith family, then we have;…

Q: 9. (8') Let X,, X,, X, be a sample of size n=3 from a distribution with unknown mean H, -0 <u<x,…

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Q: 1. Let X₁ and X2 be two independent random variables with respective means 3 and 7 and variances 9…

A: Given that, Let The mean of Y is,

Q: Let X1, X2, *** * be a random sample of size n from norm population with mean A and unknown o. Let x…

A: Introduction: Suppose the 100 (1 – α) % confidence interval for the unknown population mean, μ is to…

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%)  =&gt; X ~ Poisson(0.8)

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: If V1, V2, ... , Vn1 and W1, W2, ... , Wn2 are inde-pendent random samples of sizes n1 and n2 from…

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

A: Given, a=5 b=21 a) The mean and variance of the fraction of defective modems per shipment are…

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: Assume a population with 5 elements: X1-0, X2-1, X3-2. X4-3.x5-4 Calculate mean and variance of X…

A: Given information: The population is of size 5. It is required to draw samples of size 3 with…

Q: A simple random sample of size n = 10 is obtained from a population with u = 66 and o = 17. (a) What…

A: Given data: Mean = 66 Standard deviation  = 17 Sample size =10

Q: 3. Let X, X2, .. X5, be a random sample from a population having mean u and variance o?, and let ô,…

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Q: Let X1, X2,......, X, be a random sample from a normal population N(u, o2) EXi is a ΣΧ. , show that…

A: Given X1, X2, ..., Xn be a random sample from a normal population Nμ, σ2.

Q: In a large lot of manufactured items, 10% contain exactly one defect and 5% contain more than one…

A: For Y1 : Since each items are interdependent so Y1~Bin(10,0.1)  For Y2 : Since each items are…

Q: A courier service company has found that their delivery time of parcels to clients is approximately…

A: Given , Mean = 30 , variance = 25