1. A metropolitan police department maintains statistics of larcenies reported in the various precincts of the city. It records the proportion of the city population in each precinct and the precinct larceny rate (= the proportion of the precinct population reporting a larceny within the past year). These statistics are summarized in Table 4. A larceny victim is randomly chosen from the city population. What is the probability that they come from Precinct 3?
Table 4

2. A metropolitan police department maintains statistics of larcenies reported in the various precincts of the city. It records the proportion of the city population in each precinct and the precinct larceny rate (= the proportion of the precinct population reporting a larceny within the past year). These statistics are summarized in Table 4. A larceny victim is randomly chosen from the city population. What is the probability that they come from Precinct 3?
Table

Use Bayes' theorem to calculate the probabilities.

Transcribed Image Text:

Proportion of Population Larceny Rate Precinct .01 20 .10 .02 .40 .05 .30 4 .04 4) Proportion of Population Larceny Rate .01 Precinct 1 .20 .10 .02 .40 .05 .04