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Exercise 10

Avg difficulty 2.5

The following contingency table provides data from a sample of 6,224 individuals who were exposed to smallpox in Boston.

InoculatedNot InoculatedTotal
Lived23851365374
Died6844850
Total24459806224
  1. What is the probability that a person was inoculated?

  2. What is the probability that a person lived?

  3. What is the probability that a person died or was inoculated?

  4. What is the probability that a person died given they were inoculated?

  5. What is the probability that a person died given they were not inoculated?

  6. Does it appear that survival depended on if a person were inoculated? Or are they independent? Use probability to support your claim.

Lee et al., Math in Society, §4.1 Contingency Tables, Exercise 10

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