I am stuck on part c) for both these questions. The questions are unrelated. For the second question, I keep getting 0.0537 for c) but I am not sure why it is wrong.

Homework: Homework #6 (Ch 5, 13-14) Save Score: 0.8 of 1 pt 14 of 14 (14 complete) HW Score: 97.14%, 13.6 of 14 pts x 14.1.53 Question Help You roll a die, winning nothing if the number of spots is even, $4 for a 1 or a 3, and $16 for a 5. a) Find the expected value and standard deviation of your prospective winnings. b) You play five times. Find the mean and standard deviation of your total winnings. c) You play 30 times. What is the probability that you win at least $170? a) What is the expected value? E(X) = $ 4.00 (Round to two decimal places as needed.) What is the standard deviation? SD(X) = $ 5.66 (Round to two decimal places as needed.) b) What is the expected value if you play five times? E(playing five times) = $ 20 (Round to two decimal places as needed.) What is the standard deviation if you play five times? SD(playing five times) = $ 12.65 (Round to two decimal places as needed.) c) What is the probability that you win at least $170 if you play 30 times? Enter your answer in the answer box and then click Check Answer. ? All parts showing Clear All Check AnswerHomework: Homework #6 (Ch 5, 13-14) Save Score: 0.8 of 1 pt 2 of 14 (14 complete) HW Score: 97.14%, 13.6 of 14 pts 13.1.20 Question Help You roll a die. If it comes up a six, you win $80. If not, you get to roll again. If you get a six the second time, you get $20. If not, you lose. a) Create a probability model for the amount you win at this game. b) Find the expected amount you'll win. c) How much would you be willing to pay to play this game? a) Complete the probability model for the amount you win at this game. Six on roll # 2 No Sixes Rolled Winnings 80 20 0 Probability 5 25 6 36 36 (Type integers or simplified fractions.) b) E(winnings) = $ 16.11 (Round to two decimal places as needed.) c) In order to break even in the long run, what is the most you should pay to play this game? You should pay at most $ (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. ? All parts showing Clear All Check