Council For a Drug Free Workplace concluded that 70 % of New Jersey\'s business
ID: 3126927 • Letter: C
Question
Council For a Drug Free Workplace concluded that 70 % of New Jersey's business have employees whose performance is affected by drugs and or alcohol. In those business 'it was estimated that 8.5% of their workforces have alcohol problems and 5.2% have drug problems. These last two numbers are slightly lower than the national statistics of 10% and 7%, respectively. a.) In a New Jersey company that acknowledges it has performance problems caused by substance abuse, out of every 1000 employees, approximately how many have drug problems? b.) If 10 employees are randomly selected to form a committee to address alcohol abuse problems, what is the probability that at least one member of the committee is an alcohol abuser? That exactly two are alcohol abusers? c.) What assumptions did you have to make in order to answer part b using the methodology of this section?
Explanation / Answer
If we take as base that 5.2% of the employees have a drugs problem we can calculate how many employees of every 1000 have a drug problem
(5,2 x 1000) / 100= 52 employees according to Council For a Drug Free Workplace
and
(7x1000)/100 =70 employess according the national statitics
(85 x 1000) /100=85 eployees have a problem with the alcohol
then the probability that at least one member of the comittee has one employee with alcohol problems is 0.085 if we take as poblation 1000 people
if we want 2 employess (0.085^2) / 1000= 0.0000075%
We elevate the 0.085 to quarter because we want 2 case of succes