Below is a table from Chapter 2 of the textbook showing who survived the sinking of the Titanic, based on whether they were crew members, or passengers booked in rst-, second-, or third-class staterooms: mean-m 25 285 706 2201 3 a. If we draw an individual at random, what is the probability of selecting a third-class passenger who survived? (1 mark) b. What is the probability of a randomly selected passenger surviving, given that the passenger was a rst-class passenger? (1 mark) c. Carry out a Chi-square test to test whether survival and ticket class are related. State the null and alternative hypotheses, give the Chi-square value, degrees of freedom and p-value, and state your conclusion about the hypotheses. (4 marks)