Suppose the data to the right represent the survival data for the a certain ship

Question

Suppose the data to the right represent the survival data for the a certain ship that sank. The males are adult males and the females are adult females. Complete parts (a) through j) Male Female Child Total 470 101 571 819 51 1,444 125 2,263 74 Survived 275 Died Total 1,292 1,567 Previous Question (a) If a passenger is selected at random, what is the probability that the passenger survived? (Round to three decimal places as needed.) (b) If a passenger is selected at random, what is the probability that the passenger was female? (Round to three decimal places as needed.) (c) If a passenger is selected at random, what is the probability that the passenger was female or a child? Round to three decimal places as needed.) (d) If a passenger is selected at random, what is the probability that the passenger was female and survived? (Round to three decimal places as needed.) (e) If a passenger is selected at random, what is the probability that the passenger was female or survived? (Round to three decimal places as needed.)

Explanation / Answer

a) P(passenger survived) = 819 / 2263 = 0.362

b) P(passesnger was female) = 571 / 2263 = 0.252

c) P(passenger was a female or child) = P(female) + P(child)

                                                             = 571/2263 + 125/2263

                                                             = 0.308

d) P(passenger was a female and survived) = 470 / 2263 = 0.208

e) P(passenger was a female or survived) = P(passenger was a female) + P(passenger survived) - P(passenger was a female and survived)

                                             = 571/2263 + 819/2263 - 470/2263

                                             = 0.407

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