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 fewer than 40 people from this sample access video-sharing sites

The probability that fewer than 40 people from this sample access video-sharing sites is P=0.92.

Step-by-step explanation:

We have a populations proportion of internet users accessing video-sharing sites of p=0.71. We take a sample of n=50. This can be treated as a binomial random variable, but a normal distribution approximation is prefered, as the sample size is big to make all the calculations for the binomial distribution.

To approximate the binomial distribution to a normal distribution, we calculate the parameters as:

To calculate the probability that fewer that 40 people from this sample access video-sharing sites, we apply the continuity factor:

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step-by-step explanation: