Given that last week, we observed the 100th Anniversary of the sinking of the Titanic

2.  Given that last week, we observed the 100th Anniversary of the sinking of the Titanic, the following problem is quite pertinent. The table below describes the number of men, women and children who were passengers on the Titanic.

The table lists both the number who survived as well as the number in each category who died.

Titanic Mortality Data
      
                Men      Women        Boys        Girls             Totals
Survived     332         318          29            27                  706
Died         1360         104          35            18                1517                
                1692         422          64            45                2223

If we were to randomly select one passenger:
a. Find the probability that the selected passenger is male.
b. Find the probability that the selected passenger survived.
c. Given that the selected passenger is female, what is the probability that she died.
d. Given that the selected passenger survived, what is the probability that the passenger is male?
e. Find the probability that the selected passenger is male and died
f. Find the probability that the selected passenger survived or is female?
g. Are the events the selected passenger died and the selected passenger is male independent events? Explain.