Use Bayes’ theorem to calculate the probabilities.

Table 5 gives the distribution of incomes and shows the proportion of two-car families by income level for a certain suburban county. Suppose that a randomly chosen family has two or more cars. What is the probability that its income is at least $75,000 per year? 

Transcribed Image Text:

Table 5 Annual Family Income < $30,000 $30,000-$44,999 $45,000-$59,999 $60,000-$74,999 ≥ $75,000 Proportion of People .10 .20 135 .30 .05 Proportion Having Two or More Cars .20 .50 .60 .75 .90