(a) Let X be the number of tosses until you get the first head. What's EX and Var(X)? (No need to prove.) (b) Let Y be the number of tosses until you get 10 heads. Write the probability of Y = k. Here k ≥ 10 is a positive integer. (c) Compute EY and Var(Y). (Hint: Using the property of independence will be much easier than calculating by definition.)

(a) Let X be the number of tosses until you get the first head. What's EX and Var(X)? (No need to prove.) (b) Let Y be the number of tosses until you get 10 heads. Write the probability of Y = k. Here k ≥ 10 is a positive integer. (c) Compute EY and Var(Y). (Hint: Using the property of independence will be much easier than calculating by definition.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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