ELEMENTARY STAT.USING EXCEL-MYSTATLAB
7th Edition
ISBN: 9780136937432
Author: Triola
Publisher: PEARSON
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Chapter 2.3, Problem 12BSC
To determine
Construct a pareto chart for the given data.
Comment on the results obtained from the graph.
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Q2. [20 points] An amplitude X of a Gaussian signal x(t) has a mean value of 2 and an RMS value of
√(10), i.e. square root of 10. Determine the PDF of x(t).
In a network with 12 links, one of the links has failed. The failed link is randomlylocated. An electrical engineer tests the links one by one until the failed link is found.a. What is the probability that the engineer will find the failed link in the first test?b. What is the probability that the engineer will find the failed link in five tests?Note: You should assume that for Part b, the five tests are done consecutively.
Problem 3. Pricing a multi-stock option the Margrabe formula
The purpose of this problem is to price a swap option in a 2-stock model, similarly as
what we did in the example in the lectures. We consider a two-dimensional Brownian
motion given by W₁ = (W(¹), W(2)) on a probability space (Q, F,P). Two stock prices
are modeled by the following equations:
dX
=
dY₁ =
X₁ (rdt+
rdt+0₁dW!)
(²)),
Y₁ (rdt+dW+0zdW!"),
with Xo
xo and Yo =yo. This corresponds to the multi-stock model studied in class,
but with notation (X+, Y₁) instead of (S(1), S(2)). Given the model above, the measure
P is already the risk-neutral measure (Both stocks have rate of return r). We write
σ = 0₁+0%. We consider a swap option, which gives you the right, at time T, to
exchange one share of X for one share of Y. That is, the option has payoff
F=(Yr-XT).
(a) We first assume that r = 0 (for questions (a)-(f)). Write an explicit expression for
the process Xt.
Reminder before proceeding to question (b): Girsanov's theorem…
Chapter 2 Solutions
ELEMENTARY STAT.USING EXCEL-MYSTATLAB
Ch. 2.1 - Prob. 1BSCCh. 2.1 - Prob. 2BSCCh. 2.1 - Prob. 3BSCCh. 2.1 - Prob. 4BSCCh. 2.1 - Prob. 5BSCCh. 2.1 - Prob. 6BSCCh. 2.1 - Prob. 7BSCCh. 2.1 - Prob. 8BSCCh. 2.1 - Prob. 9BSCCh. 2.1 - Prob. 10BSC
Ch. 2.1 - Prob. 11BSCCh. 2.1 - Prob. 12BSCCh. 2.1 - Prob. 13BSCCh. 2.1 - Prob. 14BSCCh. 2.1 - Prob. 15BSCCh. 2.1 - Prob. 16BSCCh. 2.1 - Prob. 17BSCCh. 2.1 - Prob. 18BSCCh. 2.1 - Prob. 19BSCCh. 2.1 - Prob. 20BSCCh. 2.1 - Prob. 21BSCCh. 2.1 - Prob. 22BSCCh. 2.1 - Prob. 23BSCCh. 2.1 - Prob. 24BSCCh. 2.1 - Prob. 25BSCCh. 2.1 - Prob. 26BSCCh. 2.1 - Prob. 27BSCCh. 2.1 - Prob. 28BSCCh. 2.1 - Prob. 29BSCCh. 2.1 - Prob. 30BSCCh. 2.1 - Prob. 31BSCCh. 2.1 - Prob. 32BSCCh. 2.1 - Prob. 33BSCCh. 2.1 - Prob. 34BSCCh. 2.2 - 1. Heights Heights of adult males are normally...Ch. 2.2 - Prob. 2BSCCh. 2.2 - Prob. 3BSCCh. 2.2 - Prob. 4BSCCh. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Prob. 9BSCCh. 2.2 - Prob. 10BSCCh. 2.2 - Prob. 11BSCCh. 2.2 - Prob. 12BSCCh. 2.2 - Prob. 13BSCCh. 2.2 - Prob. 14BSCCh. 2.2 - Prob. 15BSCCh. 2.2 - Prob. 16BSCCh. 2.2 - Prob. 17BSCCh. 2.2 - Prob. 18BSCCh. 2.2 - Prob. 19BBCh. 2.3 - Prob. 1BSCCh. 2.3 - Prob. 2BSCCh. 2.3 - 3. Ethics There are data showing that smoking is...Ch. 2.3 - Prob. 4BSCCh. 2.3 - Pulse Rates Listed below are pulse rates (beats...Ch. 2.3 - Diastolic Blood Pressure Listed below are...Ch. 2.3 - Pulse Rates Refer to the data listed in Exercise...Ch. 2.3 - Diastolic Blood Pressure Refer to the data listed...Ch. 2.3 - Prob. 9BSCCh. 2.3 - Prob. 10BSCCh. 2.3 - Prob. 11BSCCh. 2.3 - Prob. 12BSCCh. 2.3 - Prob. 13BSCCh. 2.3 - Prob. 14BSCCh. 2.3 - Prob. 15BSCCh. 2.3 - Prob. 16BSCCh. 2.3 - Prob. 17BSCCh. 2.3 - Deceptive Graphs. In Exercises 17-20, identify how...Ch. 2.3 - Prob. 19BSCCh. 2.3 - Prob. 20BSCCh. 2.3 - Prob. 21BBCh. 2.3 - Prob. 22BBCh. 2.4 - 1. Linear Correlation In this section we use r to...Ch. 2.4 - Prob. 2BSCCh. 2.4 - Prob. 3BSCCh. 2.4 - Prob. 4BSCCh. 2.4 - Prob. 5BSCCh. 2.4 - Prob. 6BSCCh. 2.4 - Prob. 7BSCCh. 2.4 - Prob. 8BSCCh. 2.4 - Prob. 9BSCCh. 2.4 - Prob. 10BSCCh. 2.4 - Prob. 11BSCCh. 2.4 - Prob. 12BSCCh. 2.4 - Prob. 13BBCh. 2.4 - Prob. 14BBCh. 2.4 - Prob. 15BBCh. 2.4 - Prob. 16BBCh. 2 - Prob. 1CQQCh. 2 - Prob. 2CQQCh. 2 - Prob. 3CQQCh. 2 - Prob. 4CQQCh. 2 - Prob. 5CQQCh. 2 - Prob. 6CQQCh. 2 - Prob. 7CQQCh. 2 - Prob. 8CQQCh. 2 - Prob. 9CQQCh. 2 - Prob. 10CQQCh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 1CRECh. 2 - Prob. 2CRECh. 2 - Prob. 3CRECh. 2 - Prob. 4CRECh. 2 - Prob. 5CRECh. 2 - Prob. 1EPCh. 2 - Prob. 1FDDCh. 2 - Prob. 2FDDCh. 2 - Prob. 3FDDCh. 2 - Prob. 4FDD
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- Problem 1. Multi-stock model We consider a 2-stock model similar to the one studied in class. Namely, we consider = S(1) S(2) = S(¹) exp (σ1B(1) + (M1 - 0/1 ) S(²) exp (02B(2) + (H₂- M2 where (B(¹) ) +20 and (B(2) ) +≥o are two Brownian motions, with t≥0 Cov (B(¹), B(2)) = p min{t, s}. " The purpose of this problem is to prove that there indeed exists a 2-dimensional Brownian motion (W+)+20 (W(1), W(2))+20 such that = S(1) S(2) = = S(¹) exp (011W(¹) + (μ₁ - 01/1) t) 롱) S(²) exp (021W (1) + 022W(2) + (112 - 03/01/12) t). where σ11, 21, 22 are constants to be determined (as functions of σ1, σ2, p). Hint: The constants will follow the formulas developed in the lectures. (a) To show existence of (Ŵ+), first write the expression for both W. (¹) and W (2) functions of (B(1), B(²)). as (b) Using the formulas obtained in (a), show that the process (WA) is actually a 2- dimensional standard Brownian motion (i.e. show that each component is normal, with mean 0, variance t, and that their…arrow_forwardThe scores of 8 students on the midterm exam and final exam were as follows. Student Midterm Final Anderson 98 89 Bailey 88 74 Cruz 87 97 DeSana 85 79 Erickson 85 94 Francis 83 71 Gray 74 98 Harris 70 91 Find the value of the (Spearman's) rank correlation coefficient test statistic that would be used to test the claim of no correlation between midterm score and final exam score. Round your answer to 3 places after the decimal point, if necessary. Test statistic: rs =arrow_forwardBusiness discussarrow_forward
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