SOLUTION: The human resources division in a large government department has shown that illness is given as the reason for absenteeism from work in 80% of absenteeism cases. Suppose a group

Question 1164283: The human resources division in a large government department has shown that illness is given
as the reason for absenteeism from work in 80% of absenteeism cases. Suppose a group of 100
employees who had been absent are randomly selected. Find the approximate probability that
at most 86 of them gave illness as their reason for absence.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
use normal approximation
mean is np=100*0.80=80
variance is np(1-p)=80*0.2=16
sd is sqrt(16)=4
the approximate probability would be z<=(x+0.5-mean)/sd=(86.5-80)/4=1.625. The +0.5 is the continuity correction factor.
that probability is 0.9479
The exact probability is 0.9531.
RELATED QUESTIONS
Employees at a large computer company earn sick leave in one-minute increments depending... (answered by swincher4391)

My problem is finding the proper way to find probabilities; Of 104 individuals,what is... (answered by oscargut)

Good day. please help me solve this problem. The table below lists the distribution of... (answered by Edwin McCravy,ikleyn)

Employees at a large computer company earn sick leave in one-minute increments depending... (answered by ikleyn)

The human resources department of a manufacturing firm found the average number of... (answered by ewatrrr)

5(2x + 4) = 50 (Given) 10x + 20 = 50 (Distributive Property) 10x = 30 (?) x = 3... (answered by stanbon)

a human resources director for a large corporation claims the probability a randomly... (answered by Theo)

a human resources director for a large corporation claims the probability a randomly... (answered by Boreal)

a human resources director for a large corporation claims the probability a randomly... (answered by ikleyn)