Hypergeometric Probability Distribution

A company manufactures personal computers in two factories, one in Texas and one in Hawaii. Texas factory has 40 employees; Hawaiian factory has 20 employees. In a random sample of 20 employees will be asked to fill out a questionnaire on performance. 

a .¿What is the probability that none of the employees work at the factory shows Hawaii?

b. How that one of the employees work at the factory shows Hawaii? 

c. What are two or more employees work at the factory shows Hawaii? 

d . How that nine employees working in the factory shows Texas?

SOLUTION

Data:

N = 60; n 10

a. r= 20 , x= 0

RTA/ the probability that none of the employees working in the factory Hawaii is 0.01

b. r= 20 , x= 1

Rta/ the probability that one of the employees working at the factory is 0.07 Hawaii

c. Two or more employees work at the factory in Hawaii

     1- f(0) - f(1) = 1- 0.08 = 0.92

Rta/ the probability that two or more employees work at the factory in Hawaii is 0.92

d. Rta/ is equally likely to be only 0.01 equally Hawaii;however in subsection b probability was 0.07