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a slot machine with winning probability p, the expected value of log of return is given by the function

Posted: Wed May 11, 2022 2:55 pm
by answerhappygod
a slot machine with winning probability p, the expected value
of log of return is given by the function
A Slot Machine With Winning Probability P The Expected Value Of Log Of Return Is Given By The Function 1
A Slot Machine With Winning Probability P The Expected Value Of Log Of Return Is Given By The Function 1 (39.83 KiB) Viewed 24 times
A Slot Machine With Winning Probability P The Expected Value Of Log Of Return Is Given By The Function 2
A Slot Machine With Winning Probability P The Expected Value Of Log Of Return Is Given By The Function 2 (88.42 KiB) Viewed 24 times
f(a) = plog(1 + a) + (1 - p) log(1 – a)

For any p with 0.5 < p < 1, show that there exists an a* e [0, 1] such that f(a*) > 0.