3) A company's records indicate that on any given day about 5% of their day shift employees and 2% of their night shift employees will miss work. Sixty percent of the employees work the day shift.

a)What percent of employees are day shift workers and will not miss work.

b)What percent of employees will miss work on any given day?

c)What percent of employees are neither day shift nor will miss work.

d)If an employee misses work, solve for the probability that they work in the night shift.

e) Is missing work independent of the shift worked? Justify