Problem 4 Study the special case of the "small world" problem called the "birthday problem" (http://en.wikipedia.org/wiki/Birthday_problem). Disregarding the possibility of a February 29 birthday, suppose a randomly selected individual is equally likely to have been born on any one of 365 days. a. If eight people are randomly selected, what is the probability that all have different birthdays? b. If eight people are randomly selected, what is the probability that at least two have the same birthday? c. Create a table for k people being randomly selected, from k = 2 to k = the smallest value for which there is at least a 50-50 chance that at least two people will have the same birthday. (you should use Excel)

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