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
Algebra ->
Probability-and-statistics
-> 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
Log On
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.
