2 89 10 This Question 1 pt o of 10 compl This Test 10 pts Ti

2 89 10 This Question: 1 pt o of 10 compl This Test: 10 pts Time Remaining: 01:01:00 0 of 10 complete Here is a table showing who survived the sinking of a ship based on whether they were crew members, or passengers booked in first-, second-, or third-class staterooms. Complete parts a) through g) below. Crew 1st 2nd 3rd Total Alive 161 154 188 152 655 Dead 735 111 202 360 1408 Total 896 265 390 512 2063 a) If an individual is drawn at random, what\'s the probability that the individual is a member of the crew? ound to one decimal place as needed.) b) What\'s the probability of randomly selecting a third-class passenger who survived? (Round to one decimal place as needed.) c) What\'s the probability of a randomly selected passenger surviving, given that the passenger was a first-class passenger? 0 (Round to one decimal place as needed.) d) If someone\'s chances of surviving were the same regardless of their status on the ship, how many members of the crew could have been expected to live? crew members (Round to two decimal places as needed.)

Solution

a)

P(crew) = 896/2063 = 0.434318953 or 43.4% [ANSWER]

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b)

P(Survived and 3rd) = 152/2063 = 0.073679108 or 7.4% [ANSWER]

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c)

P(Survived|1st) = 154/265 = 0.581132075 or 58.1% [ANSWER]

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d)

Note that

P(alive) = 655/2063 = 0.317498788

Thus,

E(alive crew) = N(crew) P(alive) = 896*0.317498788 = 284.48 [ANSWER]