Business Statistics: A First Course (7th Edition)
7th Edition
ISBN: 9780321979018
Author: David M. Levine, Kathryn A. Szabat, David F. Stephan
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 4.55CYU
What is the difference between mutually exclusive
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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
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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
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Chapter 4 Solutions
Business Statistics: A First Course (7th Edition)
Ch. 4 - Three coins are tossed. Give an example of a...Ch. 4 - An urn contains 12 red balls and 8 white balls....Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Prob. 4.4LBCh. 4 - For each of the following, indicate whether the...Ch. 4 - For each of the following, state whether the...Ch. 4 - Which of the following events occur with a...Ch. 4 - Prob. 4.8ACCh. 4 - Referring to the contingency table in Problem 4.8,...Ch. 4 - Prob. 4.10AC
Ch. 4 - Referring to the contingency table in problem...Ch. 4 - What business and technical skills are critical...Ch. 4 - Prob. 4.13ACCh. 4 - Prob. 4.14ACCh. 4 - Prob. 4.15ACCh. 4 - Prob. 4.16LBCh. 4 - Prob. 4.17LBCh. 4 - Prob. 4.18LBCh. 4 - Prob. 4.19LBCh. 4 - Prob. 4.20LBCh. 4 - Prob. 4.21ACCh. 4 - Prob. 4.22ACCh. 4 - Prob. 4.23ACCh. 4 - Prob. 4.24ACCh. 4 - Prob. 4.25ACCh. 4 - Each year, ratings are compiled concerning the...Ch. 4 - Prob. 4.27ACCh. 4 - Prob. 4.28ACCh. 4 - Prob. 4.29ACCh. 4 - Prob. 4.30LBCh. 4 - Prob. 4.31LBCh. 4 - Prob. 4.32ACCh. 4 - A banking executive is studying the role of trust...Ch. 4 - Olive Construction Company is determining whether...Ch. 4 - According to a report by The Kauffman Foundation...Ch. 4 - Prob. 4.36ACCh. 4 - Prob. 4.37ACCh. 4 - Prob. 4.38ACCh. 4 - A lock on a bank vault consists of three dials,...Ch. 4 - If a coin is tossed seven times, how many...Ch. 4 - A particular brand of womens jeans is available in...Ch. 4 - Prob. 4.42ACCh. 4 - Prob. 4.43ACCh. 4 - Prob. 4.44ACCh. 4 - Prob. 4.45ACCh. 4 - Prob. 4.46ACCh. 4 - Prob. 4.47ACCh. 4 - Prob. 4.48ACCh. 4 - Prob. 4.49ACCh. 4 - Prob. 4.50ACCh. 4 - Prob. 4.51ACCh. 4 - Prob. 4.52CYUCh. 4 - Prob. 4.53CYUCh. 4 - Prob. 4.54CYUCh. 4 - What is the difference between mutually exclusive...Ch. 4 - Prob. 4.56CYUCh. 4 - Prob. 4.57CYUCh. 4 - Prob. 4.58CYUCh. 4 - Prob. 4.59CYUCh. 4 - Prob. 4.60CRPCh. 4 - Prob. 4.61CRPCh. 4 - Prob. 4.62CRPCh. 4 - Prob. 4.63CRPCh. 4 - Prob. 4.64CRPCh. 4 - A 2013 Sage North America survey examined the...
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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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- Suppose you know that Bob's test score is above the mean, but he doesn't remember by how much. At least how many students must score lower than Bob?arrow_forwardIf a baby's weight is at the median, what's her percentile?arrow_forwardAt the same restaurant as in Question 19 with the same normal distribution, what's the chance of it taking no more than 15 minutes to get service?arrow_forward
- Clint, obviously not in college, sleeps an average of 8 hours per night with a standard deviation of 15 minutes. What's the chance of him sleeping between 7.5 and 8.5 hours on any given night? 0-(7-0) 200 91109s and doiw $20 (8-0) mol 8520 slang $199 galbrog seam side pide & D (newid se od poyesvig as PELEO PER AFTE editiw noudab temand van Czarrow_forwardTimes to complete a statistics exam have a normal distribution with a mean of 40 minutes and standard deviation of 6 minutes. Deshawn's time comes in at the 90th percentile. What percentage of the students are still working on their exams when Deshawn leaves?arrow_forwardSuppose that the weights of cereal boxes have a normal distribution with a mean of 20 ounces and standard deviation of half an ounce. A box that has a standard score of o weighs how much? syed by ilog ni 21arrow_forward
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