Find the mean of this probability distribution. Round your answer to one decimal place. The Wilson family had 5 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had: at least 2 girls? at most 2 girls? Round your answers to 4 decimal places. American Airlines' flights from Denver to Seattle are on time 60 % of the time. Suppose 11 flights are randomly selected, and the number on-time flights is recorded. Round answers to 3 significant figures. The probability that exactly 4 flights are on time is = The probability that at most 10 flights are on time is = The probability that at least 8 flights are on time is = About 8% of the population has a particular genetic mutation. 600 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 600. S About 10% of the population has a particular genetic mutation. 300 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 300. \fSuppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win 514. If you roll a 4 or 5, you win 54. Otherwise, you pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table b. Find the expected profit. 5 (Round to the nearest cent) The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $7 each and will sell 600 tickets. There is one $1,000 grand prize, two S300 second prizes, and thirteen $20 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. S 26% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32 college students are randomly selected, find the probability that a. Exactly 7 of them major in STEM. b. At most 7 of them major in STEM. c. At least 6 of them major in STEM. d. Between 5 and 13 (including 5 and 13) of them major in STEM. 73% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 42 bald eagles are randomly selected, find the probability that a. Exactly 29 of them survive their first year of life. b. At most 30 of them survive their first year of life. c. At least 29 of them survive their first year of life. d. Between 26 and 31 (including 26 and 31) of them survive their first year of life. 49% of all violent felons in the prison system are repeat offenders. If 40 violent felons are randomly selected, find the probability that a. Exactly 18 of them are repeat offenders. b. At most 20 of them are repeat offenders. c. At least 19 of them are repeat offenders. d. Between 14 and 19 (including 14 and 19) of them are repeat offenders. 69% of all students at a college still need to take another math class. If 37 students are randomly selected, find the probability that a. Exactly 26 of them need to take another math class. b. At most 24 of them need to take another math class. c. At least 23 of them need to take another math class. d. Between 20 and 27 (including 20 and 27) of them need to take another math class