Multiple Choice A fair coin is tossed three times. The random variable X is defined to be 2h, where h is the number of flips that come up heads. For example, X(HHT) = 22. What is E[X]? 2 27/8 3/2 O 1
Multiple Choice A fair coin is tossed three times. The random variable X is defined to be 2h, where h is the number of flips that come up heads. For example, X(HHT) = 22. What is E[X]? 2 27/8 3/2 O 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Multiple Choice Question
A fair coin is tossed three times. The random variable \( X \) is defined to be \( 2^h \), where \( h \) is the number of flips that come up heads.
For example, \( X(\text{HHT}) = 2^2 \).
What is \( E[X] \)?
1. \( 2 \)
2. \( \frac{27}{8} \)
3. \( \frac{3}{2} \)
4. \( 1 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64890eb5-4eb0-4853-894d-dd9980127f88%2F5dd89863-e4fd-42a8-96f0-94b8b2b32722%2F1abgb09_processed.png&w=3840&q=75)
Transcribed Image Text:### Multiple Choice Question
A fair coin is tossed three times. The random variable \( X \) is defined to be \( 2^h \), where \( h \) is the number of flips that come up heads.
For example, \( X(\text{HHT}) = 2^2 \).
What is \( E[X] \)?
1. \( 2 \)
2. \( \frac{27}{8} \)
3. \( \frac{3}{2} \)
4. \( 1 \)
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