Please Answer the question below

MR. GHISELLI'S SUPER MEGA-POWERFUL LOTTO I am going to sell lottery tickets for $1 each. On each ticket, you will select five numbers from 1 to 50, inclusive, with no repetition and a Super Number from 1 to 30, inclusive. On the day of the drawing, I will draw five numbers from 1 to 50 and a Super Number from 1 to 30. Your prize, if any, will be determined by how many numbers you match. The prize schedule is below. Match Prize 5 of 5 + Super $5,000,000 5 of 5 $150,000 Any 4 of 5 + Super $15,000 Any 4 of 5 $500 Any 3 of 5 + Super $300 Any 3 of 5 $9 Any 2 of 5 + Super $20 Any 1 of 5 + Super $3 Super $1 Based on the information, answer the questions below. Assume all ticket purchases and number selections are independent. 1. Let the random variable x represent your net winnings. Construct a probability distribution for x. (Some of the probabilities will be very small, so leave them in fraction form.) 2. What is the expected value for one ticket purchased? (Round to the nearest cent.) 3. If you buy one ticket, what is the probability you will win a prize? 4. If I sell 1,000,000 tickets, how much money can I expect to make? (Round to the nearest cent.) 5. If I sell 1,000,000 tickets, what is the probability (round to four decimal places) a. nobody wins the $5,000,000. b. exactly one person wins the $5,000,000. c. at least one person wins the $5,000,000