Mathematics, 07.11.2019 03:31 nae467
Aperson tosses a fair coin until a tail appears for the first time. if the tail appears on the nth flip, the person wins
2n
dollars. let x denote the player’s winnings. show that
e[x]=+[infinity]
this problem is known as the st. petersburg paradox.
(a) would you be willing to pay $1 million to play this game once?
(b) would you be willing to pay $1 million for each game if you could play for as long as you liked and only had to settle up when you stopped playing?
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Aperson tosses a fair coin until a tail appears for the first time. if the tail appears on the nth f...
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