Question

Shortly before midnight, on April 14, 1912, the Titanic collided with an iceberg and sank.

Out of the 2184 passengers, 1481 died that night. The passengers’ summarized data are shown below:

	1st Class	2nd Class	3rd Class	Crew	Total
Survived	201	121	174	207	703
Died	117	163	529	672	1481
	318	284	703	879	2184

(Round all answers to four decimals)

Suppose a passenger is selected at random:

a) What is the probability that the passenger survived?  

b) What is the probability that the passenger was in 3rd class?

          

c) What is the probability that the passenger survived and was a crew member?

d) What is the probability that the passenger was not in 1st class?

e) “Surviving” is (Click to select)"mutually exclusive" "independent" "disjoint" "dependent" of “being in 1st class”.

f) Suppose the passenger selected was in 2nd class. What is the probability that the passenger died?

g) What is the probability that a surviving passenger was a crew member?

h) What is the probability that the passenger survived or was a crew member?

i) “Surviving” and “being in 3rd class” are (Click to select)"not disjoint" "continuous" "mutually exclusive" "independent."

Answer 1

a)probability that the passenger survived=703/2184=0.3219

b) probability that the passenger was in 3rd class=703/2184=0.3219

c)probability that the passenger survived and was a crew member=207/2184=0.0948

d)probability that the passenger was not in 1st class =1-P(in first class)=1-(318/2184)=0.8544

e)Surviving is dependent" of “being in 1st class”.

f) P(died given in 2nd class)=163/284=0.5739

g)P(crew member|survived)=207/703=0.2945

h)P(survived or crew member)=(703+879-207)/2184=0.6296

i)“Surviving” and “being in 3rd class” are "not disjoint