A local beer producer sells two types of beer, a regular brand, and a light brand with 30% fewer calories. The company's marketing department wants to verify that its traditional approach to appealing to local white-collar workers with light beer commercials and appealing to local blue-collar workers with regular beer commercials is indeed a good strategy. A randomly selected group of 400 workers are problemed about their beer drinking preferences.

a) if a blue-collar worker is chosen at random from this group, what is the probability that he or she prefers light beer (to reg. beer or none at all)?

b) if a white-collar worker is chosen at random from this group, what is the probability that he or she prefers light beer (to reg. beer or none at all)?

c) if we restrict our attention to workers who like to drink beer, what is the probability that a randomly selected blue-collar worker prefers to drink light beer?

d) if we restrict our attention to workers who like to drink beer, what is the probability that a randomly selected white-collar worker prefers to drink light beer?

e) does the company's marketing strategy appear to be appropriate? describe wny/why not?