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| Teaching Since: | May 2017 |
| Last Sign in: | 407 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
9. Consider again the pdf of X = time headway given in Example 4.5. What is the probability that time headway is
a. At most 6 sec?
b. More than 6 sec? At least 6 sec?
c. Between 5 and 6 sec?
10. A family of pdf’s that has been used to approximate the distribution of income, city population size, and size of firms is the Pareto family. The family has two parameters, k and u, both > 0, and the pdf is
k # uk
x > u
f 1x; k, u 2 = • xk+1
0 x u
a. Compute P(X 0).
b. Compute P(-1 X 1).
c. Compute P(.5 X).
d. Verify that f(x) is as given in Exercise 3 by ob- taining F'(x).
e. Verify that m~ = 0.
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