A company with n employees publishes an internal calendar, where each day lists the employees having a birthday that day. What is the probability that there is at least one day in the year when nobody has a birthday? (a) Start as follows: 1. What is the probability of a fixed person not having a birthday on a xed day? 2. What is the probability of every person not having a birthday on a xed day? 3. What is the probability of at least one person having a birthday on a xed day? Continuing with this approach will lead you to a plausible, somewhat accurate, but incor- rect answer. Give that answer and explain why it is incorrect. (b) This time, consider the birthday assignment as partitioning of birthdays into subsets or distributing balls into boxes