A survey of local car dealers revealed that 64% of all cars sold last month had CD players, 28% had alarm systems, and 22% had both CD players and alarm systems.Leave your answers as decimals and round to three decimal places.

a.Create a Venn Diagram for the scenario above.(4 points)

b.What is the probability one of these cars selected at random had neither a CD player nor an alarm system?(1 point)

c.What is the probability that a car had a CD player unprotected by an alarm system? (1 point)

d.What is the probability a car with an alarm system had a CD player? (2 points)

e.Are having a CD player and an alarm system disjoint events? Explain. (2 points)