1) A survey was done where a random sample of people 18 and over were asked if they preferred comedies, dramas, or neither. The information gathered was broken down by age group and the following contingency table was made.
Age Group
|
Movie Type
|
18-24
|
25-34
|
35 or older
|
|
Comedy
|
20
|
25
|
10
|
|
Drama
|
20
|
20
|
30
|
|
Neither
|
10
|
15
|
15
|
A person is selected at random,
a) Determine the probability that they prefer Dramas given they are age 25-34.
b) Determine the probability that they are 18-24 given that they prefer neither comedy nor drama.