Question

The Human Resource Manager at Crown Point Hotel is looking at the number of sick days that all employees at the hotel have been taking over the past 6 months. She has found that the number of sick days follows a normal distribution with a mean of 6.7 sick days and a variance of 1.44 sick days.

1. What is the probability that in a six-month period an employee takes:
   1. More than four and a half (4.5) sick days?                                                                 (5 marks)
   2. Between six (6) and eight (8) days?                                                                           (5 marks)

2. The Human Resources Manager has selected a sample of 25 days at random, calculate the probability that the average number of sick days taken by the sample employees will be less than seven (7) days.                                                                                                                      (5 marks)

Answer 1