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Dovator [93]
3 years ago
6

According to a recent​ study, 9.3​% of high school dropouts are​ 16- to​ 17-year-olds. In​ addition, 6.4​% of high school dropou

ts are white​ 16- to​ 17-year-olds. What is the probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old?
Mathematics
1 answer:
Finger [1]3 years ago
4 0

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 = P(D \cap W) = 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:

P(W | D)=\frac{P(W \cap D)}{P(D)}

Using the values, we get:

P( W | D) = \frac{0.064}{0.093} = 0.688

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%

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Step-by-step explanation:

To construct the (1 - <em>α</em>)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.

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