I really like winning online games. So sometimes l'll play until I win 2 times. Let X be the number of games I play to achieve my second win and assume that the probability that I win any game is 20%. What is the expected value of X? 6 O X 0.4 O X 4 X 5 O / 10

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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**Question 6**

I really like winning online games. So sometimes I'll play until I win 2 times. Let \( X \) be the number of games I play to achieve my second win and assume that the probability that I win any game is 20%. What is the expected value of \( X \)?

- ⭕ 0.4
- ❌ 4
- ❌ 5
- ✅ 10

The correct answer is 10.
Transcribed Image Text:**Question 6** I really like winning online games. So sometimes I'll play until I win 2 times. Let \( X \) be the number of games I play to achieve my second win and assume that the probability that I win any game is 20%. What is the expected value of \( X \)? - ⭕ 0.4 - ❌ 4 - ❌ 5 - ✅ 10 The correct answer is 10.
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