Problem VI* (5 points) Suppose there are n students in a class. (a) (1 points) Find the probability that at least one student has the same birthday as yours. b) (2 points) How large should n be approximately so that with at least 1/2 chance at least one student has the same birthday as yours. (You can use In (1 + x) ~ x, for small x.) (c) (2 points) Explain the difference between this and the "birthday problem", when we calculate n so that at least two students in the class has the same birthday with at least 1/2 chance