Here is a table showing who survived the sinking of a ship based on whether they
ID: 2926934 • Letter: H
Question
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 239 190 139 159 727 Dead 733 133 221 554 1641 Total 972 323 360 713 2368 a) If an individual is drawn at random, what's the probability that the individual is a member of the crew? (Round 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? (Round to one decimal place as needed.)Explanation / Answer
a) Probability that a randomly selected individual is a crew member is computed as:
= Total number of crew members / Total frequency
= 972 / 2368
= 0.410
Therefore 41.0% is the correct answer here.
b) Probability of randomly selecting a third class passenger who survived is computed as:
= Total number of third class passengers who survived / Total frequency
= 159 / 2368
= 0.0671
Therefore 6.7% is the correct answer here.
c) Now given the passenger is I class passenger probability that the passenger survived is computed as:
= Number of I class passengers who survived / Total number of I class passengers
= 190 / 323
= 0.588
Therefore 58.8% is the correct answer here.
d) If the chances would have been same as to live or not, then the number of crew members who would be expected to live is computed as:
= Proportion of people who lived * Number of crew members
= ( 727 / 2368 ) * 972
= 298.41
Therefore approximately 298 crew members are expected to live.