(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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Suppose you are flipping biased coin, which has result of head with probability p.
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