em 4. Players arrive at a casino at rate A, and begin betting be the total amount they lose by time t. What is E(X|N(t))? xplain why Var(X|N(t)) = N (t)t² /12. %3D

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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Problem 4. Players arrive at a casino at rate A, and begin betting, and losing money at rate $1/minute.
Let X be the total amount they lose by time t.
(a) What is E(X|N(t))?
(b) Explain why Var(X|N(t)) = N(t)t²/12.
(c) Find Var(X).
%3D
Transcribed Image Text:Problem 4. Players arrive at a casino at rate A, and begin betting, and losing money at rate $1/minute. Let X be the total amount they lose by time t. (a) What is E(X|N(t))? (b) Explain why Var(X|N(t)) = N(t)t²/12. (c) Find Var(X). %3D
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