Business Analytics (2nd Edition)
Business Analytics (2nd Edition)
2nd Edition
ISBN: 9780321997821
Author: James R. Evans
Publisher: PEARSON
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Chapter 5, Problem 10PE

A survey of 200 college graduates who have been working for at least 3 years found that 90 owned only mutual funds, 20 owned only stocks, and 70 owned both.

  1. What is the probability that an individual owns a stock? A mutual fund?
  2. What is the probability that an individual owns neither stocks nor mutual funds?
  3. What is the probability that an individual owns either a stock or a mutual fund?

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Consider an MA(6) model with θ1 = 0.5, θ2 = −25, θ3 = 0.125, θ4 = −0.0625, θ5 = 0.03125, and θ6 = −0.015625. Find a much simpler model that has nearly the same ψ-weights.
Let {Yt} be an AR(2) process of the special form Yt = φ2Yt − 2 + et. Use first principles to find the range of values of φ2 for which the process is stationary.
Describe the important characteristics of the autocorrelation function for the following models: (a) MA(1), (b) MA(2), (c) AR(1), (d) AR(2), and (e) ARMA(1,1).

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Business Analytics (2nd Edition)

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