A recent census of employees at a large automotive company showed that 30% of th
ID: 3337828 • Letter: A
Question
A recent census of employees at a large automotive company showed that 30% of the assembly line workers were extremely bored with their job. The management of the company arranged for a consulting firm to come and offer a program to reduce on-the -job boredom. After two months of the program, a random sample of 13 workers was selected to help evaluate its impact.
a) What probability distribution describes the number of workers being bored with their jobs?
Name:
Parameters:
b) Find the mean and standard deviation of the number of workers being bored with their jobs?
Mean:
Standard deviation:
Explanation / Answer
Since there are only two outcomes - the assembly line workers are extremely bored or not, the distribution is binomial distribution.
Parameters are number of workers n = 13 and probability p = 0.3
1 - p = 1 - 0.3 = 0.7
Mean = n*p = 13 * 0.3 = 3.9
Standard deviation = (np(1-p))
= (3.9*0.7)
= 2.73
= 1.6523.