1. A new rollercoaster, The Black Widow, at an amusement park requires individuals to be at least 4 foot 8 inches tall to ride. It is estimated that the heights of all 10-year old boys are normally distributed with 54.5 inches and a standard deviation of 4.5 inches. (Using Minitab) a. What proportion of 10-year old boys have a height that is 1.25 standard deviations below the mean? (8 pts.) (Minitab Output) b. What proportion of 10-year old boys is not tall enough to ride the new rollercoaster, The Black Widow? (8 pts.) (Minitab Output) c. A smaller older rollercoaster, The lightening Rod, has a height requirement of 50 inches to ride. What proportion of 10-year old boys is tall enough to ride this coaster? (7 pts.) (Minitab Output) d. What proportion of 10-year old boys is tall enough to ride The lightening Rod but not tall enough to ride The Black Widow? (7 pts.) (Minitab Output)