Analyze the scenario and complete the following: Complete the discrete probability distribution for the given variable. 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 $4,000, 10 first prizes of $450, 35 second prizes of $150, and 60 third prizes of $30.

x	0	30	150	450	4000
P (x)

Round probabilities to 4 decimal places ii. E(X) = $0.00 Round to 2 decimal places Var(X) = 0.00 Round to 2 decimal places