Performance Task No. 1 Discrete Probability Distribution I 25 Consider a very small barangay consisting of 6 qualied voters. Let us label them A, B, C, D, E, and F. There are two candidates vying for the position namely, Leni and BBM. What we do not know is that Voters A, B, C, and D already decided to vote for Leni while voters E and F will elect BBM. 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 Leni 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 Leni. c. Find the average number of voters that will elect Leni. (1. Compute the variance and the standard deviation of the probability distribution. (Use any method}