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Exercise 11

Avg difficulty 2.5

The contingency table below shows the survival data for the passengers of the Titanic.

FirstSecondThirdCrewTotal
Survive203118178212711
Not Survive1221675286731490
Total3252857068852201
  1. What is the probability that a passenger did not survive?

  2. What is the probability that a passenger was crew?

  3. What is the probability that a passenger was first class and did not survive?

  4. What is the probability that a passenger did not survive or was crew?

  5. What is the probability that a passenger survived given they were first class?

  6. What is the probability that a passenger survived given they were second class?

  7. What is the probability that a passenger survived given they were third class?

  8. Does it appear that survival depended on the passenger's class? Or are they independent? Use probability to support your claim.

Lee et al., Math in Society, §4.1 Contingency Tables, Exercise 11

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.