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Assume Instagram posted 100 of the most viewed pictures of the past 3 weeks. Of these...

Assume Instagram posted 100 of the most viewed pictures of the past 3 weeks. Of these pictures, assume 19% were of people working out. If Instagram does the same thing in the week after Christmas, but instead ups the amount to 130 pictures, find the probability that the number of people working out is:

a. at least 15 working-out people

b. 28 or more working-out people

c. between 15 and 28 working-out people

d. Is this problem appropriate to use the normal approximation for the binomial? How do you know? Give evidence.

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