Problem
Consider the number of people arriving at the Student Center for coffee between 10 A.m. and 11 A.M. on a given day. For this random variable X, it is known that E(X) = 100 and var(X) = 10.
a. Give an upper bound on the probability that the number of people is outside the range [75,125].
b. Give the range for X for which the probability is at most 1/100 that the number of people who show up is outside that range.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.