As the company manager for XYZ Corporation there is 0.65 probability that you will be promoted this year. There is 0.75 probability that you will get promotion or raise. Probability of getting promotion and raise is 0.50.
a) Determine the probability to receive a raise?
b) Are events being promoted and receiving raise mutually exclusive? Explain why or why not?
c) Are the two events, being promoted and receiving a raise, independent? Explain, using probabilities.
d) Determine the probability of receiving a raise given which you have been promoted?
e) Determine the probability of being promoted given that you have received a raise?