44. Let X1, X2, ..,Xn be a random sample from Bernoulli distributed population with the probability of a success 0. Which one of the following is the variance of the maximum likelihood estimator for 0? e(1-0) b) e(8-1) c) d) e(0+1)

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A: Given data: n = 18 µ = 46 and  variance of σ2 = 50.

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A: It is an important part of statistics. It is widely used.

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A: ANSWER:-

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Q: Suppose again, as in Exercise 9, that a random sampleof 10 observations is taken from the normal…

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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Q: Let X and Y be independent normal random variables such that the mean and variance of X are 2 and 4,…

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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…

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Q: The Central Limit Theorem states: Let X1,... , X,, be a random sample with E[X,] = H and Var(X) =…

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Q: 4. Suppose the variance of X is 2.0091. Which of the following is(are) TRUE? I. In the long run, the…

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Q: Let X1,X2,...Xn be a random sample from a Poisson population with parameter A. Then. the sample mean…

A: The Pmf of the Poisson distribution is given below: fx=e-λλxx!;x=0,1, 2, ...,n The maximum…

Q: 1. Show that if X' , Y' are the deviations of the random variables X and Y from their respective…

A: Given that, Xi' and Yi'are the deviations of random variables X and Y form their means. Xi' = Xi-X¯…

Q: Let X1, X2, .,X, be a random sample of size n from normally distributed population with mean u…

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Q: 1 The expectation of the number of defective devices is given by the formula P T = N[₁ - (₁ - 2N)"]…

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Q: 7. Suppose it is claimed that amongst the population of human adults, the number of hours spent…

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Q: 5)- Let y1, y2, ., yn be a random sample of n observations from a normal distribution with mean 0…

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Q: Suppose X is random variable with E(X^2)= 10 and E(X)=2. What is the variance of X? Suppose X is a…

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Q: An accountant wants to simplify his bookkeeping by rounding amounts to the nearest integer, for…

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Q: 7. Suppose it is claimed that amongst the population of human adults, the number of hours spent…

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Q: If a random sample of size n is selected withoutreplacement from the finite population that consists…

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Q: 11. Suppose X and Y are independent continuous random variables uniformly dis- tributed on the…

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Q: 1,12,.Y, are independent and identically distributed normal random variables with mean u and…

A: Here X ~ N ( μ, σ2) ,  then we have L  = ∏i=1n1σ2πexp-12σ2(xi - μ)2 = 1σ2πn exp -∑i=1n( xi -μ)2/ 2σ2…

Q: 2. Prove that if X is a discrete random variable, a and b are constants, and Y = aX + b, then My (t)…

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Q: A sample of n = 4 scores has a variance of s2 = 16 and an estimated standard error of 2.

A: Given: Sample size, n=4 Variance, s2 = 16  Compute standard deviation: σ=s2=16=4

Q: 18. Show that for type III population -,0Sx<00, p = 0, e" Tp dp : where p is known, is a maximum…

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Q: 2. Suppose we have a random sample X1,., Xn from a normal distribution N(µ, 0²), with known mean µ…

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Q: Suppose that the number of accidents occuring on a highway each day is a Poisson random variable…

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Q: If X1, X2, and X3 constitute a random sample of sizen = 3 from a Bernoulli population, show that Y…

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Q: Suppose we collect n samplesX1,X2, . . . ,Xn from a uniform distribution U[θ,1]. We know the maximum…

A: It is an important part of statistics . It is widely used .

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Q: Suppose X, Y, and Z are three independent normal random variables. X has an expected value of 7 and…

A: a) T=3X+12Y-2Z To Find: E(T) E(T)=3E(X)+12E(Y)-2E(Z)=3×7+12×(-2)-2×5=13 Answer: 13

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.