Reference no: EM131023572
1. I have a 6 sided die which I claim is fair, i.e., that each of the 6 sides is equally likely to land facing up when rolled. You roll the die 11 times before obtaining a '6'. Should you conclude the die is not fair? (Hint: let X denote the roll of the die on which the first '6' appears; calculate P(X ≥ 11), this is your p-value).
2. One of my prized possessions is my 'simplified quantum coin', described by P(X = 1|p) = p, P(X = 0|p) = 1 - p, where X is the number of heads in a toss of the coin, and p is a random variable with P(p = 1/4) = 1/4 and P(p = 3/4) = 3/4.
(a) What is the probability of a 'head' in a single toss of this coin?
(b) If the coin is tossed and a 'head' results, what is the probability that p is 3/4?
7. Consider a random sample X1, ... , Xn" from a Uniform distribution on (0, θ). Derive a likelihood ratio test of H0 : θ = θ0 versus HA : θ ≠ θ0. Show that the rejection region is of the form X(n) ≤ cθ0 or X(n) > θ0 and find c for level α = 0.05.
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Explain how to check your solution for both equations
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Effect of the corporate income tax on workers
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Can you please show me the solution step by step
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Reason for buying a resale
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What is the probability of a head in a single toss of coin
: What is the probability of a 'head' in a single toss of this coin? If the coin is tossed and a 'head' results, what is the probability that p is 3/4?
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Economic report of the president
: According to the 2004 Economic Report of the President, "Another crucial principle [of tax incidence] is that only people can pay taxes. Businesses and other artificial entities cannot pay taxes." Do you agree that businesses cannot pay taxes? Don..
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Find the average rate of travel in miles per day
: On February 10th, Oscar rented a Chevy Trailblazer with a full tank of gas and 13,091 miles on the odometer. On February 12th he returned the vehicle with 13,322 on the odometer.
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Legal specification of its incidence
: According to the 2004 Economic Report of the President, "The actual incidence of a tax may have little to do with the legal specification of its incidence." Briefly explain what this statement means and discuss whether you agree with it.
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Construct a truth table and the karnaugh map
: The inputs to the logic circuit are the bits B8, B4, B2, and B1 of the binary equivalent for the hexadecimal digit. (The most significant bit is B8, and the least significant bit isB1.) Construct a truth table and the Karnaugh map; then, write the..
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