845. There are 3,650 students enrolled in the university. The probability that the student's birthday falls on a particular day of the year is 1/365. To find:
a) The most probable number of students born on May 1 and the probability of such an event.
b) The probability that at least 3 students have the same birthday.

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)