Hi there I really need help with these questions

1 (0/1) Probability Distribution Table 2 [1/1] X P(X) 3 (0/3) - 2 0.5 4 (0/1) 5 5 (0/3) 6 (0/3) 20 0.2 7 (0/3) 83 0.2 The student council is hosting a drawing to raise money for scholarships, They are selling tickets for $8 each and will sell 500 tickets. There is one $1,000 grand prize, four $400 second prizes, and eighteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. 65% of all Americans live in cities with population greater than 100,000 people. If 42 Americans are randomly selected, find the probability that a. Exactly 26 of them live in cities with population greater than 100,000 people. b. At most 30 of them live in cities with population greater than 100,090 people. E. At least 29 of them live in cities with population greater than 100,000 people. d. Between 24 and 29 (including 24 and 29) of them live in cities with population greater than 100,000 people. 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 42 college students are randomly selected, find the probability that a. Exactly 9 of them major in STEM. b. At most 13 of them major in STEM. At least 13 of them major in STEM. d. Between 6 and 11 (including 6 and 11) of them major in STEM. 62% of all violent felons in the prison system are repeat offenders. If 31 violent felons are randomly selected, find the probability that a. Exactly 17 of them are repeat offenders. b. At most 18 of them are repeat offenders. c. At least 19 of them are repeat offenders. d. Between 16 and 22 (including 16 and 22) of them are repeat offenders. 9% of all Americans live in poverty. If 50 Americans are randomly selected, find the probability that a. Exactly 6 of them live in poverty. b. At most 4 of them live in poverty. C. At least 3 of them live in poverty. d. Between 3 and 8 (including 3 and 8) of them live in poverty. A random number generator picks a number from 9 to 64 in a uniform manner. Round answers to 4 decimal places when possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the number will be exactly 35 is P(x = 35) =[ d. The probability that the number will be between 21 and 56 is P(21 29) = f. P(x > 26 | x 2.62) = e. The probability that a newborn fawn will be weigh more f. P(x > 2.61x