Question

According to a​ study, 89​% of​ K-12 schools or districts in a country use digital content such as​ ebooks, audiobooks, and digital textbooks. Of these 89​%, 10 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 its curriculum. The probability that a randomly selected school or district uses digital content and uses it as part of its curriculum is nothing.

A) 0.445
B) 0.89
C) 0.5
D) 0.00

Answer 1

The probability that a randomly selected school or district uses digital content and uses it as part of its curriculum is found by multiplying the probability of using digital content (89% or 0.89) by the probability of using it in the curriculum (50% or 0.5), resulting in 0.445 or 44.5%.

Step-by-step explanation:

To find the probability that a randomly selected school or district uses digital content as part of its curriculum, we must first consider that according to the study, 89% of schools or districts use digital content such as ebooks, audiobooks, and digital textbooks. We are then told that of these schools, 10 out of 20, or 50%, incorporate digital content into their curriculum.

The probability that a randomly selected school uses digital content and uses it as part of their curriculum is found by multiplying the two probabilities:

• Probability of using digital content: 89% or 0.89
• Probability of using it in the curriculum (given that the school uses digital content): 50% or 0.5

Multiplying these together, we get:
0.89 (probability of using digital content) × 0.5 (probability of using it in the curriculum) = 0.445 or 44.5%.

Therefore, the correct answer is A) 0.445.