二、填充題 (5% for each, 50% in total)

$$\chi{.10}^2(2) = 4.6052, \chi{.05}^2(2) = 5.991, \chi{.025}^2(2) = 7.3778, \chi{.01}^2(2) = 9.2103$$

1. As a company manager for NTPU Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.25. What is the probability of getting a raise? (a) Are getting a raise and being promoted independent events? (Justify your answer) (b)