Of the 2201 people on the RMS Titanic, only 711 survived. The practice of women and children

Of the 2201 people on the RMS Titanic, only 711 survived. The practice of €œwomen and children first€ was first used to describe the chivalrous actions of the sailors during the sinking of the HMS Birkenhead in 1852, but became popular after the sinking of the Titanic, during which 53% of the children and 73% of the women survived, but only 21% of the men survived. Part of the protocol stated that passengers enter lifeboats by ticket class as well. Here is a table showing survival by ticket class.

a) Find the conditional probability of survival for each type of ticket.
b) Draw a probability tree for this situation.
c) Given that a passenger survived, what is the probability they had a first-class ticket?

Transcribed Image Text:

First Second Third 203 118 28.6% 16.6% 25.0% 29.8% 100% 122 Crew 212 673 Total 178 167 528 1490 8.2% 11.2% 35.4% 45.2% 100%