Consider a random sample X1,...,Xn,... ∼ iid Beta(θ,1) for n > 2. Prove that the MLE and UMVUE are both consistent estimators for θ

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A: Here given X1,X2,X3 be uncorrelated random variables, having the same variance σ2.So given…

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A: Answer is in the explanation box.Explanation:

Q: E (XY) Elxy) = 6x₁² +EE) 7

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A: Table xyx2y2x⋅y-204000908105152522575820644001601224144576288∑x=23∑y=68∑x2 =237∑y2 =1282∑xy=523

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A: A population of values has a normal distribution with  and .Sample size:

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A: Given the data on income and housing costs from 66 individuals asMedian incomeHousing…

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Q: Find the value of following permutation: P(4,2)

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A: The given data is as follows: 1519191724232218241723231623241823191520

Q: Which image describes a Spearman correlation of -1? A. B. O C. 4 4 140 140 120 100 ✓ 80 60 40 20

A: The image corresponding to the correlation ceofficient value  neeed to be obtained.

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Q: 18 Min 22 28 nin I 30 33 nin 1 42 40 58 60 nax I 71 78 nax I 82 88 98 Which of the following are…

A: Minimum and maximum values are marked on the three boxplots.

Q: 35.3 42.6 44.6 47.4 47.7 48.3 50.2 51.3 51.5 55.4 56 56.4 58.5 59 59 62.6 62.6 63.3 45.2 47 47 49.6…

A: given data set…

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A: probability a randomly selected gas station in country A charges less than $2.50 per gallon = 0.1492…

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A: Given data are0.93,1.04,1.25,1.21,1.08,1.01,0.96,1.24,0.69,1.41,0.63Here we need to find the  range,…

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A: (a) Mean=20Standard Deviation=4 (b) Yes, here binomial probabilities can be approximated by normal…

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A: The given data is as follows:DayNumber of callsMonday205Tuesday190Wednesday220Thursday180Friday180

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A: The question is about graphical representation of the data.Given :No. of observations ( n ) = 22