The probability of the number of salaried employee participant in an optional retirement program is based on the binomial distribution, with four salaried employees are chosen randomly and p = 0.4 . Let X denote the number of employees’ participant in the program. a) Present a probability distribution table for X . b) Find the distribution function of X . c) Calculate the expected and variance of X by use of the general formulas for discrete random variable.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The probability of the number of salaried employee participant in an optional retirement
program is based on the binomial distribution, with four salaried employees are chosen
randomly and p = 0.4 . Let X denote the number of employees’ participant in the program.
a) Present a probability distribution table for X .

b) Find the distribution function of X .

c) Calculate the expected and variance of X by use of the general formulas for discrete random variable.

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