The Birthday Problem. Refer to Exercise 4.266, but now assume that the class consists of N students.

a. Determine the probability that at least 2 of the students have the same birthday.

b. If you have access to a computer or a programmable calculator, use it and your answer from part

(a) to construct a table giving the probability that at least 2 of the students in the class have the same birthday for N = 2, 3,..., 70.