Answer:
0.6628 or 66.28%
Step-by-step explanation:
The probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old is determined by the probability of them being a white 16 to 17 years old dropout (5.7%), divided by the probability of them being a 16 to 17 years old dropout of any ethnicity (8.6%):
[tex]P(W|16\ to\ 17)=\frac{P(W\ and\ 16\ to\ 17)}{P(16\ to\ 17)} =\frac{0.057}{0.086}\\P(W|16\ to\ 17)=0.6628=66.28\%[/tex]
There is a 0.6628 or 66.28% chance that a randomly selected dropout is white, given that he or she is 16 to 17 years old.
Answer: the probability that a randomly selected dropout is white is 0.4902%
Step-by-step explanation:
According to the provided information,
8.6% of high school dropouts are in the age bracket of 16 to 17 years old.
Then 5.7% of the high school dropouts that are 16 to 17 years old are whites.
Therefore, the probability that a randomly selected dropout is white =
5.7% of 8.6% = 0.4902%.
For clarity sake, we can assume that there are 3000 students in the high school.
8.6% are dropouts :
8.6/100 × 3000 = 258 total dropouts.
Now, suppose 5.7% of the total dropouts in that school are whites, therefore the number of white dropouts in the school is:
5.7/100 × 258
= 14 white dropouts.
We can also achieve this by multiplying the two percentages by the total number of students in the school
i.e 8.6% × 5.7% × 3000
= 14 whites dropouts
This affirms that the probability that a randomly selected dropout is white =
5.7% × 8.6% = 0.4902%
