Suppose you are tossing a fair coin to bet. At each time your gain is X¡. The rule is: (i) if you get heads at i-th toss X; = 1$; (ii) if you get tails at i-th toss, X; = –1$. Let Wn = X1 + X2+ • ·· + Xn with Wo = 0. Note that W, represents your total wealth after n tosses. %3| Suppose after 100 tosses you have 11$, that is W100 = 11. What is your expected wealth if you do another 100 tosses, that is E[W200|W100 = 11]?
Suppose you are tossing a fair coin to bet. At each time your gain is X¡. The rule is: (i) if you get heads at i-th toss X; = 1$; (ii) if you get tails at i-th toss, X; = –1$. Let Wn = X1 + X2+ • ·· + Xn with Wo = 0. Note that W, represents your total wealth after n tosses. %3| Suppose after 100 tosses you have 11$, that is W100 = 11. What is your expected wealth if you do another 100 tosses, that is E[W200|W100 = 11]?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![5. Suppose you are tossing a fair coin to bet. At each time your gain is X;. The rule is: (i) if you get heads at i-th toss,
X; = 1$; (ii) if you get tails at i-th toss, X; = -1$. Let Wn = X1 + X2 + · · · + Xn with Wo = 0. Note that Wn
represents your total wealth after n tosses.
Suppose after 100 tosses you have 11$, that is W100 = 11. What is your expected wealth if you do another 100
tosses, that is EW200|W100 = 11]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F400d4842-56a7-4e40-8197-1a7fd1b40131%2F3fa3dd7a-a245-4710-9352-d0d8a2a5af08%2Fidk1v4n_processed.png&w=3840&q=75)
Transcribed Image Text:5. Suppose you are tossing a fair coin to bet. At each time your gain is X;. The rule is: (i) if you get heads at i-th toss,
X; = 1$; (ii) if you get tails at i-th toss, X; = -1$. Let Wn = X1 + X2 + · · · + Xn with Wo = 0. Note that Wn
represents your total wealth after n tosses.
Suppose after 100 tosses you have 11$, that is W100 = 11. What is your expected wealth if you do another 100
tosses, that is EW200|W100 = 11]?
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