(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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose you are flipping biased coin, which has result of head with probability p.
Transcribed Image Text:(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.)
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