Answer:
0.688 or 68.8%
Step-by-step explanation:
Percentage of high school dropouts = P(D) = 9.3% = 0.093
Percentage of high school dropouts who are white = [tex]P(D \cap W)[/tex] = 6.4% = 0.064
We need to find the probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old. This is conditional probability which can be expressed as: P(W | D)
Using the formula of conditional probability, we ca write:
[tex]P(W | D)=\frac{P(W \cap D)}{P(D)}[/tex]
Using the values, we get:
P( W | D) = [tex]\frac{0.064}{0.093} = 0.688[/tex]
Therefore, the probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old is 0.688 or 68.8%
