Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 17, Problem 50E
To determine
Test whether there is evidence that the percentage of people avoiding fast food is different in the two age groups.
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A random variable X takes values 0 and 1 with probabilities q and p, respectively, with q+p=1. find the moment generating function of X and show that all the moments about the origin equal p. (Note- Please include as much detailed solution/steps in the solution to understand, Thank you!)
1 (Expected Shortfall)
Suppose the price of an asset Pt follows a normal random walk, i.e., Pt =
Po+r₁ + ... + rt with r₁, r2,... being IID N(μ, o²).
Po+r1+.
⚫ Suppose the VaR of rt is VaRq(rt) at level q, find the VaR of the price
in T days, i.e., VaRq(Pt – Pt–T).
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• If ESq(rt) = A, find ES₁(Pt – Pt–T).
2 (Normal Distribution)
Let rt be a log return. Suppose that r₁, 2, ... are IID N(0.06, 0.47).
What is the distribution of rt (4) = rt + rt-1 + rt-2 + rt-3?
What is P(rt (4) < 2)?
What is the covariance between r2(2) = 1 + 12 and 13(2) = r² + 13?
• What is the conditional distribution of r₁(3) = rt + rt-1 + rt-2 given
rt-2 = 0.6?
Chapter 17 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 17.2 - A public broadcasting station plans to launch a...Ch. 17.2 - Prob. 2JCCh. 17.3 - Prob. 3JCCh. 17.3 - Prob. 4JCCh. 17.4 - Prob. 5JCCh. 17.4 - Prob. 6JCCh. 17.4 - Prob. 7JCCh. 17.4 - Prob. 8JCCh. 17.5 - Prob. 9JCCh. 17.5 - Recall the experiment comparing patients 4 weeks...
Ch. 17.5 - Prob. 11JCCh. 17 - Canada Suppose an advocacy organization surveys...Ch. 17 - Non-profits Do people who work for non-profit...Ch. 17 - Canada, deux The information in Exercise 1 was...Ch. 17 - Prob. 4ECh. 17 - Prob. 5ECh. 17 - Prob. 6ECh. 17 - Prob. 7ECh. 17 - Prob. 8ECh. 17 - Prob. 9ECh. 17 - Non-profits test Complete the analysis begun in...Ch. 17 - Prob. 11ECh. 17 - Prob. 12ECh. 17 - Prob. 13ECh. 17 - Athlete ages, again Using the summary statistics...Ch. 17 - Prob. 15ECh. 17 - Athlete ages, ninth inning The researchers in...Ch. 17 - Prob. 17ECh. 17 - Athlete ages, overtime Repeat the test you did in...Ch. 17 - Prob. 19ECh. 17 - Prob. 20ECh. 17 - Prob. 21ECh. 17 - Prob. 22ECh. 17 - Prob. 23ECh. 17 - Prob. 24ECh. 17 - Prob. 25ECh. 17 - Prob. 26ECh. 17 - Prob. 27ECh. 17 - Graduation The U.S. Department of Commerce...Ch. 17 - Prob. 29ECh. 17 - Carpal tunnel The painful wrist condition called...Ch. 17 - Prob. 31ECh. 17 - Prob. 32ECh. 17 - Ear infections A new vaccine was recently tested...Ch. 17 - Anorexia The Journal of the American Medical...Ch. 17 - Prob. 35ECh. 17 - Prob. 36ECh. 17 - Teen smoking A Vermont study published by the...Ch. 17 - Depression A study published in the Archives of...Ch. 17 - Birthweight The Journal of the American Medical...Ch. 17 - Politics and sex One month before the election, a...Ch. 17 - Prob. 41ECh. 17 - Prob. 42ECh. 17 - Pain Researchers comparing the effectiveness of...Ch. 17 - Gender gap Candidates for political office realize...Ch. 17 - Prob. 45ECh. 17 - Prob. 46ECh. 17 - Sensitive men In the same article from Exercise...Ch. 17 - Carbs Recently, the Gallup Poll asked 1005 U.S....Ch. 17 - Food preference GfK Roper Consulting gathers...Ch. 17 - Prob. 50ECh. 17 - Hot dogs In the July 2007 issue, Consumer Reports...Ch. 17 - Prob. 52ECh. 17 - Prob. 53ECh. 17 - Prob. 54ECh. 17 - Hot dogs, last one In Exercise 53, we saw a 90%...Ch. 17 - Third load of wash In Exercise 54, we saw a 98%...Ch. 17 - Prob. 57ECh. 17 - Prob. 58ECh. 17 - Prob. 59ECh. 17 - Prob. 60ECh. 17 - Commuting A man who moves to a new city sees that...Ch. 17 - Pulse rates A researcher wanted to see whether...Ch. 17 - Prob. 63ECh. 17 - New construction The house sales we looked at in...Ch. 17 - Cereal sugar The data below show the sugar content...Ch. 17 - Prob. 66ECh. 17 - Prob. 67ECh. 17 - Prob. 68ECh. 17 - Cholesterol and gender Are men or women at higher...Ch. 17 - Prob. 70ECh. 17 - Home runs 2016 American League baseball teams play...Ch. 17 - Prob. 72ECh. 17 - Prob. 73ECh. 17 - Prob. 74ECh. 17 - Prob. 75ECh. 17 - Ad campaign You are a consultant to the marketing...Ch. 17 - Prob. 77ECh. 17 - Thirsty? Researchers randomly assigned...Ch. 17 - Prob. 79ECh. 17 - Prob. 80ECh. 17 - Tees Does it matter what kind of tee a golfer...Ch. 17 - Golf again Given the test results on golf tees...Ch. 17 - Music and memory Is it a good idea to listen to...Ch. 17 - Rap Using the results of the experiment described...Ch. 17 - Prob. 87ECh. 17 - Prob. 88E
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- 3 (Sharpe-ratio) Suppose that X1, X2,..., is a lognormal geometric random walk with parameters (μ, o²). Specifically, suppose that X = Xo exp(rı + ...Tk), where Xo is a fixed constant and r1, T2, ... are IID N(μ, o²). Find the Sharpe-ratios of rk and log(Xk) — log(Xo) respectively, assuming the risk free return is 0.arrow_forwardi need help with question 2arrow_forward4 (Value-at-Risk and Expected Shortfall) Suppose X Find VaR0.02(X) and ES0.02 (X). ~ Uniform(-1, 1).arrow_forward
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