Refer to Exercise 4.266, but now assume that the class consists of N students.
In E 4.266
A biology class has 38 students. Find the probability that at least 2 students in the class have the same birthday. For simplicity, assume that there are always 365 days in a year and that birth rates are constant throughout the year.
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.