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, 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.

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...
icon
Related questions
Question
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,
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.
d. Compute the variance and the standard deviation of the probability
distribution. (Use any method)
Event
Sum
Event
Sum
Event
Sum
Event
Sum
А, В, С
3
А, В, D
3
А, В, Е
2
А, В, F
2
Transcribed Image Text: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, 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. d. Compute the variance and the standard deviation of the probability distribution. (Use any method) Event Sum Event Sum Event Sum Event Sum А, В, С 3 А, В, D 3 А, В, Е 2 А, В, F 2
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON