Cars pass a certain street location according to a Poisson process with rate 2. A womanwho wants to cross the street at that location waits until she can see that no cars will comeby in the next T time units.а)b)Find the probability that her waiting time is 0.Find the expected waiting time is 0.e. -(1+ a7)]A)В)-(1+7)]et,[e" - (1– AT)]C)[eT -(1– 27)]D)

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Answered: Cars pass a certain street location…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random variable X has a N(0,1) distribution. Use the moment generating function of X to compute (a) the third and (b) fourth moments of X, i.e., E(X³) and E(X4).
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I roll a die with 10 faces numbered 0-9 and obtain a score X. What is E(X)? In order to obtain a random number between 0 and 99 I roll the die twice obtaining scores X and Y, then set Z = 10X + Y (i.e., the first roll determines the "tens", the second roll the "ones"). Is it true to say that E(Z) = 10E(X) + E(Y)?
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