Expected value coin toss - ist
Jaeyoung Park 15 2. Given any such iterative process where each iteration is identical and independent of the previous ones and has nonzero probability of stopping, and the desired quantity being the cumulative sum of values of each iteration, where there are upper and lower bounds on the value of all iterations, the desired quantity has finite expectation, for the reason that a series similar to the infinite sum in the other answers converges. And note three things that, individually, aren't too hard to see:. Meta Stack Exchange Stack Apps Area 51 Stack Overflow Talent. Standard deviations, remember, are the square root of the average of the squared deviations of observed scores from the mean. Suppose we flip a coin until we see a head. Expected value of a biased coin toss. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Standard deviations, remember, are the square root of the average of the squared deviations of observed scores from the mean. It doesn't always occur, but that is our expectation. We can also imagine situations where we don't actually look at data we collect, but try to anticipate what data would like if we collected it. What is the expected value of the number of flips we will take? Sign up or log in to customize your list.