A population is described by the probability distribution 2 -1 1 2 f(z) 0.5 0.25 0.25 Let X₁ and X₂ be a random sample of size 2 from this distribution. (a) List all possible samples and determine their probabilities. (b) Determine the sampling distribution of the sample range (Hint:range Xmaz-Xmin). (c) Is the range an unbiased estimator for the population std. dev.? Demonstrate for the

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A: From the provided information, 1) Population mean (m) = 500 Population standard deviation (s) = 0.5…

Q: (d) Compare your answers to parts (b) and (c). Did the probability increase as n (number of months)…

A: ANSWER:-  d)After comparing part b and c. We can say that,   The probability increases as the…

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A:

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A: If sample size is large then distribution is approximately normal.

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A: Given: Mean = 1.2, s = 1.3

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A: Solution:  Given information:  n=10 Sample size σ2= 0.5 Population variance

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A: Given: x=8,y=10,z=7x=x+y+z3=8.33

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A: Given that a sample of size 30 is taken from a geometrical distribution 200 times.