Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.4 Probability and Calculus, #28 · Probability · Continuous distributions

With …, find the average number … of coin tosses by writing…

With $p = \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \dots$ , find the average number $μ$ of coin tosses by writing $p_{1} + 2 p_{2} + 3 p_{3} + \dots$ as $(p_{1} + p_{2} + p_{3} + \dots) + (p_{2} + p_{3} + p_{4} + \dots) + (p_{3} + p_{4} + p_{5} + \dots) + \dots$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.4 Probability and Calculus, #28

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