With Y equal to the number of people selected at random that you must ask in order to find someone with the same birthday as yours. Assume that each day of the year is equally likely, and there are 365 days.

How do you solve the following?

1. What is the pmf of Y?

2. The mean, variance, and standard deviation of Y.

3. Finding P(Y > 400) and P(Y < 300).