Part 2 of 5 O A state has a lottery game where a person picks one of the 1000 three-digit numbers between 000 and 999. The lottery selects a three-digit number at random. With a bet of $1, a person wins $600 if their number is selected and nothing ($0) otherwise. Complete parts a through d below. a. With a single $1 bet, what is the probability of winning $600? 0.001 (Do not round.) b. Let X denote the winnings for a $1 bet, so x = $0 or x = $600. Construct the probability distribution for X. X P(x) $0 $600 (Do not round.)