Based on records of automobile accidents in a recent year, the Department of Highway Safety and Motor Vehicles in Florida reported the counts who survived (S) and died (D), according to whether they wore a seat belt (Y = yes, N = no). The data are presented in the contingency table shown.
a. What is the sample space of possible outcomes for a randomly selected individual involved in an auto accident? Use a tree diagram to illustrate the possible outcomes.
b. Using these data, estimate (i) P(D), (ii) P(N).
c. Estimate the probability that an individual did not wear a seat belt and died.
d. Based on part a, what would the answer to part c have been if the events N and D were independent? So, are N and D independent, and if not, what does that mean in the context of these data?

  • CreatedSeptember 11, 2015
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