I roll a die with 10 faces numbered 0-9 and obtain a score X. What is E(X)?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![I roll a die with 10 faces numbered 0-9 and obtain a score X. What is E(X)?
In order to obtain a random number between 0 and 99 I roll the die twice obtaining
scores X and Y, then set Z = 10X + Y (i.e., the first roll determines the "tens", the
second roll the "ones"). Is it true to say that E(Z) = 10E(X) + E(Y)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F017b5c7e-49c0-46c7-a22b-9336d465c7c9%2Ff2b6e735-ecbb-467b-ad25-728be3443e54%2Fydwykrt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I roll a die with 10 faces numbered 0-9 and obtain a score X. What is E(X)?
In order to obtain a random number between 0 and 99 I roll the die twice obtaining
scores X and Y, then set Z = 10X + Y (i.e., the first roll determines the "tens", the
second roll the "ones"). Is it true to say that E(Z) = 10E(X) + E(Y)?
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