Suppose a poll of 20 employees is taken in a large company. The purpose is to determine x, the number who favor unionization. Suppose that 60% of all the company’s employees favor unionization.

a. Find the mean and standard deviation of x.

b. Use Table I in Appendix D to find the probability that x ≤ 10. Verify this probability using Minitab.

c. Use Table I to find the probability that x > 12.

d. Use Table I to find the probability that x = 11. Verify this probability using Minitab.

e. Graph the probability distribution of x and locate the interval μ ± 2σ on the graph.