(2 points) The Rolling Stones and Led Zeppelin are two "classic rock" bands that

are/were heavily influences by Chicago Electric Blues. Suppose we are sitting in

front of a jukebox and randomly selecting songs to play. Let A denote the event

that a randomly selected song from the jukebox has at least one Rolling Stones

member performing on it, and let B denote the event that a randomly selected

song from the jukebox has at least one Led Zeppelin member song performing it.

Let P(A) = 0.80 and P(B) = 0.45.

a. (0.5 points) Using terminology we established in class, what do we call the

event of randomly selecting a song that does not have at least one Led Zeppelin member song performing it? How do we denote this event?

b. (0.5 points) What is the probability of randomly selecting a song that does not have at least one Led Zeppelin member song performing it?

c. (0.5 points) What is the event of selecting a song that has members of both

Led Zeppelin and Rolling Stones performing on it (e.g., "Heart of Stone")? How do we denote this event?

d. (0.5 points) Suppose that the probability of selecting a song that has members of both Led Zeppelin and Rolling Stones performing on it is 0.35. Calculate the probability of selecting a song that that has members of Led Zeppelin or Rolling Stones performing on it. Please use appropriate

terminology and notation when presenting your answer.