Question

According to a recent​ study, 9.2​% of high school dropouts are​ 16- to​ 17-year-olds. In​ addition, 6.2​% of high school dropouts 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?

Answer 1

Answer:

Step-by-step explanation:

So, out of a 100% students that drop out, 9,2% is in the range of 16-17 years of age. The conclusion would be, $\frac{92}{1000}$ would express the probability of randomly picking a dropout that belong in this set of 16-17 year olds.

Notice that I put "1000" because I want a 0,0092 as a multiplier, because in probability, that represents "9,2%". You actually awnt to always put 100, because that's 100%, but this is just a trick, writing 9,2/100 still works.

Now, for the second bit of information you want to also include that "6,2% white students", which is a subset of the set of 16-17 year olds. and that's a probability, in of itself. Thus, you multiply these two probabilities.

What you want to plug, in your calculator, the follwing expression:

$\frac{9,2}{100} \frac{6,2}{100}$

This will give you a number, which you'll have to multiply by 100, to obtain the answer for your problem!