The weekly salary paid to employees of a small company that supplies part-time labourers averages $700 with a standard deviation of $400.
a.) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week.
b.) If every employee receives a year-end bonus that adds $100 to the pay check in the final week, how does this change the normal model for that week?
c.) If every employee receives a 5% salary increase for the next year, how does the normal model change?
d.) If the lowest salary is $300 and the median salary is $500, does a normal model appear appropriate?