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4. Probability: Suppose we select a ternary strings of length 12 at random. (Recall: a ternary string is a string in {0, 1, 2}.) Let X (s) be the random variable that counts the number of 2's in s. For each part provide justification for your calculations. (a) Give an example of a string s such that X(s) = 0. Also, give an example of a string t such that X(t) = 6. (b) What is Pr(X = 6)? (c) What is Pr(X=6|X≥ 1)?

4. Probability: Suppose we select a ternary strings of length 12 at random. (Recall: a ternary string is a string in {0, 1, 2}.) Let X (s) be the random variable that counts the number of 2's in s. For each part provide justification for your calculations. (a) Give an example of a string s such that X(s) = 0. Also, give an example of a string t such that X(t) = 6. (b) What is Pr(X = 6)? (c) What is Pr(X=6|X≥ 1)?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please send handwritten solution of part b

 

4. Probability: Suppose we select a ternary string s of length 12 at random. (Recall: a ternary string is a string in {0, 1, 2}.) Let X(s) be the random variable that counts the number of 2's in s. For each part provide justification for your calculations. (a) Give an example of a string s such that X(s) = 0. Also, give an example of a string t such that X(t) = 6. (b) What is Pr(X = 6)? (c) What is Pr(X = 6|X 2 1)? (d) Show that E(X) = 4.
Transcribed Image Text:4. Probability: Suppose we select a ternary string s of length 12 at random. (Recall: a ternary string is a string in {0, 1, 2}.) Let X(s) be the random variable that counts the number of 2's in s. For each part provide justification for your calculations. (a) Give an example of a string s such that X(s) = 0. Also, give an example of a string t such that X(t) = 6. (b) What is Pr(X = 6)? (c) What is Pr(X = 6|X 2 1)? (d) Show that E(X) = 4.
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