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 15, Problem 43E
a.
To determine
Check whether the cancer death rate among the movie crew is unusually high.
b.
To determine
Check whether the exposure to radiation increases the risk of cancer.
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2 (VaR and ES) Suppose X1
are independent. Prove that
~
Unif[-0.5, 0.5] and X2
VaRa (X1X2) < VaRa(X1) + VaRa (X2).
~
Unif[-0.5, 0.5]
8 (Correlation and Diversification)
Assume we have two stocks, A and B, show that a particular combination
of the two stocks produce a risk-free portfolio when the correlation between
the return of A and B is -1.
9 (Portfolio allocation)
Suppose R₁ and R2 are returns of 2 assets and with expected return and
variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find
−∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest
risk.
Chapter 15 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 15.2 - A research team wants to know if aspirin helps to...Ch. 15.2 - An allergy drug has been tested and found to give...Ch. 15.2 - The new drug is tested and the P-value is 0.0001....Ch. 15.4 - The research team that wants to know if aspirin...Ch. 15.4 - Prob. 5JCCh. 15.6 - Prob. 6JCCh. 15.6 - Prob. 7JCCh. 15.6 - Prob. 8JCCh. 15 - Better than aspirin? A very large study showed...Ch. 15 - Psychic A friend of yours claims to be psychic....
Ch. 15 - Parameters and hypotheses For each of the...Ch. 15 - Hypotheses and parameters As in Exercise 3, for...Ch. 15 - SECTION 15.2 5. Better than aspirin again?...Ch. 15 - GRE performance A test preparation company claims...Ch. 15 - SECTION 15.3 7. Hispanic origin According to the...Ch. 15 - Empty houses According to the 2010 Census, 11.4%...Ch. 15 - Prob. 9ECh. 15 - Marriage In 1960, census results indicated that...Ch. 15 - Prob. 11ECh. 15 - Golf balls The United States Golf Association...Ch. 15 - Prob. 13ECh. 15 - Prob. 14ECh. 15 - CHAPTER EXERCISES 15. Hypotheses Write the null...Ch. 15 - More hypotheses Write the null and alternative...Ch. 15 - Negatives After the political ad campaign...Ch. 15 - Dice The seller of a loaded die claims that it...Ch. 15 - Prob. 19ECh. 15 - Cars A survey investigating whether the proportion...Ch. 15 - Prob. 21ECh. 15 - Prob. 22ECh. 15 - Prob. 23ECh. 15 - Prob. 24ECh. 15 - Dowsing In a rural area, only about 30% of the...Ch. 15 - Abnormalities In the 1980s, it was generally...Ch. 15 - Prob. 27ECh. 15 - Educated mothers The National Center for Education...Ch. 15 - Contributions, please II We learned in Chapter 13,...Ch. 15 - Prob. 30ECh. 15 - Prob. 31ECh. 15 - Scratch and dent An appliance manufacturer...Ch. 15 - Prob. 33ECh. 15 - Football 2016 During the first 15 weeks of the...Ch. 15 - WebZine A magazine is considering the launch of an...Ch. 15 - Seeds A garden center wants to store leftover...Ch. 15 - Prob. 37ECh. 15 - Prob. 38ECh. 15 - Prob. 39ECh. 15 - Acid rain A study of the effects of acid rain on...Ch. 15 - Prob. 41ECh. 15 - TV ads A start-up company is about to market a new...Ch. 15 - Prob. 43ECh. 15 - Prob. 44ECh. 15 - Normal temperature again From the measurements of...Ch. 15 - Hot dogs again The nutrition lab in Chapter 14,...Ch. 15 - Prob. 47ECh. 15 - Computer lab fees again The technology committee...Ch. 15 - More Ruffles Recall from Chapter 14, Exercise 55...Ch. 15 - More Doritos We saw in Chapter 14, Exercise 56...Ch. 15 - Prob. 51ECh. 15 - Prob. 52ECh. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Maze Here are the data from the researcher...Ch. 15 - Facebook friends According to...Ch. 15 - Maze revisited A student resampled the Maze times...Ch. 15 - Prob. 58ECh. 15 - Prob. 59ECh. 15 - Prob. 60E
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- 7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forwardJoy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forward
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