Course Guide Assignme R Reports apclassroom.collegeboard.org Video 1 Watched Watched 02:08 PM AM (Skill 3.R) 4.12: Daily Video 2 (Skill 4.B) Finding Means (Expected Values) Major hurricanes (Category 4, 5, or 6) have sustained windspeeds of at least 111 mph. 22% of tropical storms turn into a major hurricane. (b) Suppose NOAA predicts 18 tropical storms this year. (i) How many major hurricanes should we expect this year? Let X = the number of major hurricanes this year. X is a binomial random variable with n = 18 and p = 0.22. The expected number of major hurricanes is x=18(0.22) = 3.96. (ii) How many tropical storms would we expect to happen to get the first major hurricane? Let Y = the number of tropical storms until one becomes a major hurricane. Y is a geometric random variable with p = 0.22. The expected number of tropical storms to get the first hurricane is y 1 = = = 4.55. 0.22 CollegeBoard 4.12: Daily Video ... 5.1: Daily Video 1 5.2: Daily Video 1... 8