A large company has found that 40% of it employees own their own homes.

Question

a.) If we randomly select a sample of 20 employees, what is the probability that the sample proportion that own their homes is over 50%?

b.) If we randomly select a sample of 40 employees, what is the probability that the sample proportion that own their homes in over 50%?

c.) If we randomly select a sample of 20 employees, what is the probability that the sample proportion that own their homes is between 30% and 50%?

Thanks!