Question: A group of 300 people were surveyed. Their marital status was recorded along with answers to several questions. One question asked was whether “friends and social life” or “job or primary activity” contributes most to their general well-being. The results from this question appear in the table below.

a) Find the probability that a randomly selected person chose “Friends and social life”.

b) Find the probability that a randomly selected person is married and chose “friends and social life”.

c) Find the probability that a randomly selected person is married or chose “friends and social life”.

d) Find the probability that a randomly selected person chose “friends and social life” given the person is married.

e) Are the events chose “Friends and social life” and being married independent? Explain using probabilities.

f) Are the events chose “Friends and social life” and being married mutually exclusive? Explain using probabilities.