Analyze the scenario and complete the following:

1. Complete the discrete probability distribution for the given variable.
2. Calculate the expected value and variance of the discrete probability distribution.

The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $2,500, 10 first prizes of $250, 20 second prizes of $100, and 55 third prizes of $30.

i.