The number of people who survived the Titanic based on class and gender is in the following table. Suppose a person is picked at random from the survivors.
| Class |
Female |
Male |
Total |
| 1st |
135 |
59 |
194 |
| 2nd |
94 |
25 |
119 |
| 3rd |
80 |
58 |
138 |
| Total |
309 |
142 |
451 |
a) What is the probability that a survivor was female?
Round final answer to 3 decimal places.
b) What is the probability that a survivor was in the 3rd class?
Round final answer to 3 decimal places.
c) What is the probability that a survivor was a female given that the person was in 3rd class?
Round final answer to 3 decimal places.
d) What is the probability that a survivor was a female and in the 3rd class?
Round final answer to 3 decimal places.
e) What is the probability that a survivor was a female or in the 3rd class?
Round final answer to 3 decimal places.
f) Are the events "survivor is a female" and "survivor is in 3rd class" mutually exclusive? Why or why not?
Yes because P(female and 3rd class) = 0
No because P(female and 3rd class) = 0
Yes because P(female and 3rd class) is not equal to 0
No because P(female and 3rd class) is not equal to 0
Yes because P(female or 3rd class) = 0.
No because P(female or 3rd class) = 0
Yes because P(female | 3rd class) = P(female)
No because P(female | 3rd class) is not equal to P(female)
Yes because P(female | 3rd class) = P(3rd class)
No because P(female | 3rd class) is not equal to P(3rd class)
g) Are the events "survivor is a female" and "survivor is in 3rd class" independent?
Why or why not?
Yes because P(female and 3rd class) = 0
No because P(female and 3rd class) = 0
Yes because P(female and 3rd class) is not equal to 0
No because P(female and 3rd class) is not equal to 0
Yes because P(female or 3rd class) = 0.
No because P(female or 3rd class) = 0
Yes because P(female | 3rd class) = P(female)
No because P(female | 3rd class) is not equal to P(female)
Yes because P(female | 3rd class) = P(3rd class)
No because P(female | 3rd class) is not equal to P(3rd class)
