Question
Please take your time on this one, I'm not in a hurry. We're playing a game. Each turn, we press a button. A total of
Please take your time on this one, I'm not in a hurry. We're playing a game. Each turn, we press a button. A total of n (x,y,z) sets will be generated: - x: truth value that has a 0.0756% chance of valuing to true - y: natural number from 1 to 9 (evenly distributed).
- z: natural number from 1 to 5 (evenly distributed).
We're looking for exactly four sets of (true, 1, 1) and 1 set of (true, 1, 2).
n depends on the number of desired sets acquired m: n = 5 - m.
Additionally, we're paying 5*(m+1) units of money each time the button is pressed.
What are the expected value and standard deviation of the amount of money spent?
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