An extensive survey on music preference resulted in the foll

An extensive survey on music preference resulted in the following table of probabilities.

Note: In this survey a person was permitted to select as many genres as they

wish. Assume that the types of music enjoyed are independent of each other.

Music Enjoyed Probability

classical 0:20

rock 0:40

jazz 0:30

R&B 0:25

folk 0:15

country 0:20

5. Using above info: Find the probability that a person likes classical or rock music. (Give the exact value- DO NOT ROUND)

7. Using above info: If three people are chosen at random independently of each other, what is the probability that none of the three will like rock music?

Let A, B, and C be three events such that: A and B are independent, A and C are mutually exclusive, B and C are neither independent nor mutually exclusive. Suppose

P(A) = .3, P(B) = .6, P(C) = .55, and P(B U C) = .6.

15. With the above setting find P(A U B). (Give the exact value - DO NOT ROUND)

At a certain pizza place, only takes-out orders are accepted. (There is no dine-in.)

They do not accept orders for more than six pizzas and it is possible that a phone call

could come in where the customer asks for information but no pizzas are ordered. Let

X be the random variable,