Number of friends on Facebook. Facebook recently examined all active Facebook us

Question

Number of friends on Facebook. Facebook recently examined all active Facebook users (more than 10% of the global population) and determined that the average user has 190 friends. This distribution takes only integer values, so it is certainly not Normal. It is also highly skewed to the right, with a median of 100 friends. Suppose that sigma = 288 and you take 7 an SRS of 70 Facebook users. For your sample, what are the mean and standard deviation of friends per user? the mean number of (b) Use the central limit theorem to find the probability that the average number of friends for 70 Facebook users is greater than 250.

Explanation / Answer

Result:

a).

mean =190

standard deviation = 288/sqrt(70) =34.4226

b).

z value for 250, z =(250-190)/34.4226 =1.74

P( mean x > 250) = P( z >1.74)

=0.0409

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