Concept explainers
In Exercises 1–22, use Bayes’ theorem to calculate the probabilities.
Demographics Table 7 shows the percentages of various portions of the U.S. population in 2012, based on age and gender. Suppose that a person is chosen at random from the entire population
Table 7 |
||
Age Group |
U. S. Population |
|
% of Population |
% Male |
|
Under 5 yrs 5–19 yrs 20–44 yrs 45–64 yrs Over 64 yrs |
7 20 33 27 13 |
51 51 50 48 44 |
(a) What is the probability that the person chosen is male?
(b) Given that the person chosen is male, find the probability that he is between 5 and 19 years old.
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