Consider a very small barangay consisting of 6 qualified voters. Let us label them A, B, C, D, E, and F. There are two candidates vying for the position namely, Digong and Mar. What we do not know is that Voters A, B, C, and D already decided to vote for Digong while voters E and F will elect Mar. We only have the resources of getting a sample size of 3. Let X be a random variable giving the number of voters who will elect Digong among the sample size of 3. a. What is the random variable size of 3. b. Construct the probability mass function of X where X is the number of voters who will elect Digong. c. Find the average number of voters that will elect Digong. d. Compute the variance and the standard deviation of the probability distribution.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider a very small barangay consisting of 6 qualified voters. Let us label them
A, B, C, D, E, and F. There are two candidates vying for the position namely, Digong
and Mar. What we do not know is that Voters A, B, C, and D already decided to vote for
Digong while voters E and F will elect Mar. We only have the resources of getting a
sample size of 3. Let X be a random variable giving the number of voters who will elect
Digong among the sample size of 3.
a. What is the random variable size of 3.
b. Construct the probability mass function of X where X is the number of voters who
will elect Digong.
c. Find the average number of voters that will elect Digong.
d. Compute the variance and the standard deviation of the probability distribution.
(Use any method)

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