A sample of 200 executives were surveyed to find out "if you were given an offer by another company equal to or slightly better than your present position, would you remain with the company or take the other position?"

(a) What is the probability of selecting an executive with more than 10 years of service?

(b) what is the probability of selecting an executive who would not remain with the company, given that he or she has more than 10 years of service?

(c) what is the probability of selecting an executive with more than 10 years or one who not remain with the company?

(d) What is the probability of randomly selecting an executive who would remain and has more than 10 years of service?

(e) Draw a tree diagram, and determine the joint probabilities.

(f) Do the joint probabilities total 1? Why?