If the random sample of X1,…, Xn comes from the uniform (0, Ɵ) distribution, which of the following is the maximum likelihood estimator (MLE) of parameter?

Q: sample is selected from a population with a mean of u=65 and a standard deviation of 15. If the…

A: We have to find expected valur and stanadard deviation

Q: Assume that the sample data of Y are from a normal distribution N(u, o). Then Find the value of the…

A: Introduction: The random variable of interest here is Y, which has a normal distribution with…

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: The random variable x is known to be uniformly distributed between 2 and 12. Compute the standard…

A: Given that  Distribution is uniform With parameters a= 2 , b=12

Q: Suppose a random variable, x, follows a Poisson distribution. Let μ = 2.5 every minute, find the P(X…

A: Given: A random variable "x" follows the Poisson distribution.  µ is equal to 2.5 every minute.…

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

A:

Q: Suppose that X is a binomial random variable with = 200 and p = 0.4 a. find the probability P(X ≤…

A: X~Bin(n, p) n = 200 p = 0.4 Mean(X¯) =n×p Mean(X¯) =200×0.4 Mean(X¯) =80 σ = n×p×(1-p) σ =…

Q: If a test of hypothesis has a Type I error probability (a) of 0.01, it means that

A:

Q: if each individual in the population drinks 2 kg of tea and 1 kg of coffee, the mean total…

A:

Q: If random sample, each with n=36 scores, are selected from a negatively skewed distribution with…

A: Given, μ=50σ=60n=36

Q: If the random variable X follows a Poisson distribution with a mean 3.4, find P(X = 6). Express your…

A:

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 we have a random variable X distributed as a Bernoulli distribution with p = 0.5. What is…

A:

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: The normal random variable with mean = 0 and standard deviation = 1 is said to have the…

A: If X is random variable from standard distribution with mean(mu) = 0 and standard deviation (sigma)…

Q: When simple random samples are drawn from a population that is normally distributed, the sampling…

A: According to the definition of Central limit theorem, the sampling distribution of the sample means…

Q: The test of equality of the variances between two normally distributed populations relies which has…

A: We have to find the distribution of random variable which is used in testing the equality of…

Q: e, the normal distribution is used to approximate the sampling distribution of the sample proportion…

A: The sampling distribution of the sample proportion is approximately normal with at least 10 expected…

Q: Q1. The sample X = (X,, X2, --, X,) drawn from a Gamma distributed population with parameters a =…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: A simple random sample of size n= 40 is obtained from a population with μ= 50 and σ= 4. Does the…

A: Given information- Sample size, n = 40 Population mean, μ = 50 Population standard deviation, σ = 4

Q: Your friend tossed the coin until she observed the fourth head and noted that it occurred on the…

A: Solution

Q: If the random variable X follows a Poisson distribution with parameter 7, what is the probability…

A: given ,  X follows poission distribution (λ=7)

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

A: From the given information, X: degree of brown hair color Y: degree of skin color

Q: Our method of calculating a 95 percent confidence interval for the mean u of a normal population,…

A:

Q: If the pmf of a discrete random variable X with parameter " ( is defined as p(x, p) x = 0, 1, 2, 3,…

A: Given

Q: Show that if X is a random variable having the Pois-son distribution with the parameter λ and λ→q,…

A: The moment generating function of Poisson is as follows:

Q: Suppose that you take a sample of size 15 from a population that is known to be normally…

A: Solution: Given: Suppose that you take a sample of size 15 from a population that is known to be…

Q: Let X1, X2, .. , Xn be a random sample from a Bernoulli distribution: p(x; 0) = 0*(1 – 0)1-*. We…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: The likelihood that a specified interval will contain the population parameter is referred to as

A: This is based on the definition of Confidence interval.

Q: If X is distributed as a normal distribution with a mean value of 10 and a variance equal to 3 and Y…

A:

Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X > 6.4) =…

A: P(X>6.4) = 0.38   Mean = 5     P(5<X<6.4) = ?   when X = 0.5;  Z = 0 (which is the center…

Q: Suppose that the variable under consideration is normally distributed on each of the two populations…

A: Pooled t-procedure and Nonpooled t-procedure is to perform a hypothesis test for the equality of the…

Q: Since the sampling distribution of X possesses a different standard deviation value from X, it…

A:

Q: Given x 'successes' in n trials, find the maximum likelihood estimate of the parameter 0of the…

A: Given: Here X~Binomialn,θ;0<θ<1

Q: How large a random sample is required from a popu-lation whose standard deviation is 4.2 so that the…

A:

Q: Suppose the random variable X has a geometric distribution with p=0.7. Find P(X>1) ?

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Q: Suppose the maximum likelihood estimator of a poulation variance is 4"Dx(1), where X_(1) is the…

A:

Q: The superintendent of a large school district, having once had a course in probability and…

A: The above equation is in the quadratic form

Q: If the coordinates of point A (x, y) are two random variables with a normal distribution with zero…

A:

Q: Suppose X₁, Xn from a normal distribution N(u, o2) where both u and o are unknown. We wish to test…

A:

Q: Two random variables X and Y are distributed with an unknown joint PDF. From simultaneous…

A: Given information: The scatterplot of the simultaneous measurements of two random variables X and Y…

Q: Under which circumstance will the distribution of sample means be normal? it is always normal only…

A: We have to find correct answer for given data..

Q: A simple random sample of size 144 is selected from a population with p = 0.5. 4a. What is…

A: Given: n=144 p = 0.5

Q: In a random sample of 2500 UWC students, 846 claimed to live in one of the campus’s residences.…

A: Solution: Let X be the number of UWC students live in one of the campus’s residences and n be the…

Q: Let {Xi}ni be IID from Uniform(θ,0). Find the likelihood function and the MLE of θ

A: It is known that, Xi~ U(θ,0)  P.d.f. of uniform distribution, f(x)= 1/(θ-0) ;     0<x<θ = 1/θ…

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.