An information source generates symbols at random from a four-letter alphabet {a,b.c,d} with probabilities P(a) = 1/2, P(b) = 1/4, P(c) = P(d) = 1/8. A coding scheme encodes these symbols into binary codes as follows: a 10 110 d. 111 Let X be the random variable denoting the lenght of the code, that is the number of binary symbols. Assuming that the generations of symbols are independent, please find E (X²) =?

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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a.9/4
b.2
c.7/4
d.11/16
e.15/4
An information source generates symbols at random from a four-letter alphabet {a,b,c,d} with
probabilities P(a) = 1/2, P(b) = 1/4, P(c) = P(d) = 1/8. A coding scheme encodes these
symbols into binary codes as follows:
a
10
110
d
11
Let X be the random variable denoting the lenght of the code, that is the number of binary
symbols. Assuming that the generations of symbols are independent, please find E (X²) =?
Transcribed Image Text:An information source generates symbols at random from a four-letter alphabet {a,b,c,d} with probabilities P(a) = 1/2, P(b) = 1/4, P(c) = P(d) = 1/8. A coding scheme encodes these symbols into binary codes as follows: a 10 110 d 11 Let X be the random variable denoting the lenght of the code, that is the number of binary symbols. Assuming that the generations of symbols are independent, please find E (X²) =?
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