According to a recent survey on the policy of Work From Home (WFH), 19.4% of XYZ employees prefer to work in the office. A random sample of 50 employees from a total of 900 employees in the company was taken.

a) Show that the sampling distribution of sample proportion is approximately normal.

b) Compute the standard error.

c) What is the probability that fewer than 15% of the sample employees prefer to work in the office