Question

Maintaining a healthy work and life balance is not only important for health and relationship, but it also improves employee productivity. A study is conducted to examine the amount of time that university lecturers spend on their jobs. The amount of time that university lecturers devote to their jobs per week is normally distributed, with a mean of 54 hours and a standard deviation of 7 hours.

1. What is the probability that one randomly selected lecturer works for more than 58 hours per week? Display working.   
2. Find the probability that the mean amount of work per week for three randomly selected lecturers is less than 50 hours per week. Display working.
3. Five lecturers are randomly selected. What is the probability that their average amount of work per week is between 54 hours and 60 hours? Display working   

d.  The 1% lecturers who work the longest amount of time would work at least how many hours per week? Display working.

Answer 1