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 58 193 2nd 94 26 120 3rd 79 58 137 Total 308 142 450 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?

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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
58
193
2nd
94
26
120
3rd
79
58
137
Total
308
142
450
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?
Transcribed Image Text: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 58 193 2nd 94 26 120 3rd 79 58 137 Total 308 142 450 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?
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?
Select an answer
Transcribed Image Text: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? Select an answer
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