The following data represent the survival data for the ill-fated Titanic voyage

Question

The following data represent the survival data for the ill-fated Titanic voyage by gender. The males are adult males and the female are adult females. Write your answer in fraction and decimal with three places 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 female? c) What is the probability that the passenger was female or a child? d) What is the probability that the passenger female and survived? e) What is the probability that the passenger female and child? f) What is the probability that the passenger was female or survived? g) If a female passenger is selected at random, what is the probability that she survived? h) If a child passenger is selected at random, what is the probability that the child survived? i) What is the probability that the passenger is survived given that selected is male? j) Suppose two females are randomly selected. What is the probability both survived?

Explanation / Answer

a) P(passenger survived) = 711/2224 = 0.32

b) P(female) = 425/2224 = 0.191

c) P(female or child) = (425+109)/2224 = 0.24

d) P(female and survived) = 316/2224 = 0.142

e) P(female and child) = 0

f) P(female or survived) = (711+109)/2224 = 0.369

g) P(survived | female) = P(female and survived) / P(female) = 0.142/0.191 = 0.7435

h) P(survived | child) = P(child and survived) / P(child) = 57/109 = 0.523

i) P(survived | male) = P(male and survived) / P(male) = 338/1690 = 0.2

j) P(both females survived) = (425/2224)x(424/2223) = 0.036

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