Determine the probability that at least 2 people in a room of 11 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by answering the following questions. (a) Compute the probability that 11 people have different birthdays. (b) The complement of "11 people have different birthdays" is "at least 2 share a birthday". Use this information to compute the probability that at least 2 people out of 11 share the same birthday.