A certain city has one morning newspaper and one evening newspaper. It is estimated that 30% of the city's households subscribe to the morning newspaper and 70% subscribe to the evening newspaper. Of those who subscribe to the morning paper,
80% also subscribe to the evening paper.
Let A be the event that a given household subscribes to the morning newspaper, and B be the event that it subscribes to the evening newspaper.
a) What is P(AnB)?
b) Are events A and B independent? Why or why not?
c) What is P(A|B)?
d) What is the probability that a given household subscribes to exactly one newspaper?
e) What is the probability that a given household subscribes to neither newspaper?