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

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, find the following probabilities. a) What is the probability that the passenger survived? b) What is the probability that the passenger was male? 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 was male or survived? f) If a female passenger is selected at random, what is the probability that she survived? g) If a child passenger is selected at random, what is the probability that the child died? h) What is the probability that the passenger is survived given that selected is male? i) What is the probability that the passenger is female given that selected was died?

Explanation / Answer

(a) P(survived) = 736/2240 = 0.329

(b) P(male) = 1700/2240 = 0.759

(c) P(female or child) = P(female) + P(child) = 430/2240 + 110/2240 = 0.192 + 0.049 = 0.241

(d) P(female & survived) = 321/2240 = 0.143

(e) P(male or survived) = P(male) + P(survived) - P(male & survived) = 1700/2240 + 736/2240 - 348/2240 = 0.759 + 0.329 - 0.155 = 0.933

(f) P(female & survived) = 321/2240 = 0.143

(g) P(child & died) = 43/2240 = 0.019

(h) P(survived/male) = P(survived & male)/P(male) = (348/2240)/(1700/2240) = 0.205

(i) P(female/died) = P(female & died)/P(died) = (109/2240)/(1504/2240)=0.072

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