According to Pew Research Center, 71% of Internet users accessed video-sharing sites last month. A random sample of 50 Internet users was selected. Using the normal approximation to the binomial distribution, what is the probability that exactly 36 people from this sample access video-sharing sites?

Question

Quizplus · Accepted Answer

The normal approximation to the binomial distribution can be used here. The mean (μ) is np = 50 * 0.71 = 35.5 and the standard deviation (σ) is sqrt(np(1-p)) = sqrt(50 * 0.71 * 0.29) ≈ 3.24. Using the continuity correction, we find the z-score for 35.5 to 36.5 and calculate the probability. The closest probability to the calculated value is 0.1217.

According to Pew Research Center, 71% of Internet Users Accessed