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 (15[1])variable. This quantity remains the same for present and future observations in filtrations that Jean Ville named after the martingale betting (15[1])system. (15[1])Calculating this quantity for “e to the t X” yields the (*) moment-generating 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 variance. For 10 points, name this weighted average of all possible (10[1])outcomes. ■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

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Liam KusalikWaterloo CaliToronto Sprout4615
Sky LiToronto Penguin World WarToronto cDNA6715
Cole FranklinToronto Tony Jingyu Chen eats quizbowlWaterloo Bust6815
Franklin WuToronto PilkOttawa12810

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