An extensive survey on music preference resulted in the following table of proba
ID: 3431210 • Letter: A
Question
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,
Explanation / Answer
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)
Since they are independent, P(C and R) = P(C)*P(R) = .2*.4 = .08
P(C or R) = P(C) + P(R)
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