Please! I need help with questions 5-8!

. (4 points) Suppose you roll two dice, and find the product of the two faces showing by multiplying the numbers shown on each face. a) Fill in the chart at right, showing the product of the two faces showing. Face shown on DIC M 12 3 4 5 6 (b) Determine: (i) P(product of 6) = Face shown on Dic 172 (ii) P(product of at least 18) = 6. (5 points) Suppose there are 80,000 people in a community, in which there is a disease which affects 200 people. There is a test for this disease, which has 90% accuracy predicting if you do have the disease, and 84% accuracy if you do not have the disease. (a) Fill in the chart below. Test positive Test negative TOTAL Have disease Don't have disease TOTAL 80, 000 (b) Determine the percentage of those who tested positive, who actually have the disease. Round your final answer to four decimal places. 7. (4 points) Suppose you flip 10 coins (a) How many equally likely outcomes are there? (b) Determine the following probabilities (i) P(all heads) = (ii) P(exactly one head) = (iii) P(at least one head) = . (4 points) Suppose you play a game of roulette, where there are 38 spaces on the wheel (numbered 00, 0, 1-36). You pay $10 and bet on the number "17". If you win, you will win $500. What is the expected value of the game