Among a population of employees, the proportion that work more than 10 hours of overtime a week is .25.A random sample of 30 employees is collected. If we are going to calculate probabilities of getting sample proportions, answer the following questions.

a) Can we assume the sampling distribution of sample proportions is normally distributed? In other words, can we use the properties of normal distribution? Why? SHOW YOUR WORK

(2 marks)

b)What's the probability that 6 or more employees in the sample worked more than 10 hours overtime last week?(3 marks)

c)What's the probability that between 6 and 9 employees in the sample worked more than 10 hours of overtime last week?(3 marks)