Suppose the number of days an employee at Microsoft takes per year is normally distributed with amean of 9 days and a standard deviation of 2.5.

A)WHAT PROPORTION OF THE EMPLOYEES ARE OUT FEWER HAN 7.5 DAYS?

B)WHAT PROPORTION OF THE EMPLOYEES ARE OUT MORE THAN 8 DAYS?

C)WHAT PROPORTION OF THE EMPLOYEES ARE OUT BETWEEN 8 AND 13 DAYS?

D)FIND THE Z-SCORE THAT MARKS THE LOWEST 10%?

E) THE CEO OF A COMPANY AWARDS THE EMPLOYEES WITH THE FEWEST BSENCES BY GIVING A FINANCIAL AWARD TO THE

EMPLOYEES WITH THE LOWEST 10%. FIND THE LARGEST NUMBER OF ABSENCES THAT AN EMPLOYEE COULD HAVE AND STILL GET A MONETARY AWARD?

F) FIND THE Z-SCORE THAT MARKS THE TOP 10%?

G) THE EMPLOYEES WITH THE HIGHEST 10% OF ABSCNES WILL BE REQUIRED TO VISIT THE COMPANY DOCTOR. FIND THE LOWEST NUMBER OF ABSENCES THAT AN EMPLOYEE MUST HAVE AND STILL BE REQUIRED TO SEE THE DOCTOR.

G) SUPPOSE THAT OF 16 EMPLOYEES ARE SELECTED AT RANDOM FROM THIS COMPANY. FIND THE PROBABILITY THAT THE AVERAGE NUMBER OF ABSENCES IS BELOW 9.5 DAYS.

PLEASE SHOW ALL STEPS THANK YOU.