Question

Wald’s identity is one lemma used to find this quantity for a series of IID random variables that only requires knowledge of the random variable and the stopping time. Finding this quantity using the tower rule first involves obtaining that same quantity conditioned on a random variable. This quantity remains the same for present and future observations in filtrations that Jean Ville named after the martingale betting system. Calculating this quantity for “e to the t X” yields the (*) moment-generating (10[1])function. This quantity is almost surely obtained after infinite trials according to the strong law of large numbers. For a random variable X, this quantity of X-squared minus the square of this quantity of X equals its (-5[1])variance. For 10 points, name this weighted average of all possible outcomes. (10[1]0[1])■END■

ANSWER: expectation [or expected value; accept E(X) or E of X or EV; accept mean; accept average before average is stated]
<Science - Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Sebastian PujetWUSTL JTruman State8010
Amith PunyalaWUSTL ASquidward Community College117-5
Gabe ForrestSquidward Community CollegeWUSTL A1290
Ryan HappelSIUEWUSTL C12910

Summary

2024 Booster Shot (Columbia)02/23/2024Y6100%0%17%113.33
2024 Booster Shot (Waterloo)02/23/2024Y4100%75%0%77.25
2024 Booster Shot (Vanderbilt)03/02/2024Y3100%0%33%102.00
2024 Booster Shot (Great Lakes)03/09/2024Y5100%0%0%103.20
2024 Booster Shot (WUSTL)03/09/2024Y367%0%33%104.50