SOLUTION: According to a​ study, 77​% of​ K-12 schools or districts in a country use digital content such as​ ebooks, audio​ books, and digital textbooks. Of these 77​%, 13 out o

Algebra ->  Probability-and-statistics -> SOLUTION: According to a​ study, 77​% of​ K-12 schools or districts in a country use digital content such as​ ebooks, audio​ books, and digital textbooks. Of these 77​%, 13 out o      Log On


   

Question 1181814: According to a​ study, 77​% of​ K-12 schools or districts in a country use digital content such as​ ebooks, audio​ books, and digital textbooks. Of these 77​%, 13 out of 20 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum.
The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is
nothing.
​(Round to three decimal places as​ needed.)
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Let's say that there are 2000 schools in this county.

If that's the case, then 77% of them use digital content in some way. That means 0.77*2000 = 1540 schools use digitial content.

Of those 1540 schools, 13 out of 20 of them use the digital content as part of the curriculum.

That must mean (13/20)*1540 = 1001 schools use the digitial content as part of the curriculum.

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We have A = 1001 schools that use digital content and use it as part of the curriculum. This is out of B = 2000 schools overall.

The probability we want is A/B = 1001/2000 = 0.5005
which rounds to 0.501 when rounding to three decimal places.

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Answer: 0.501