A new roller coaster at an amusement park requires individualsto be at least​ 4' 8\"
​(56 inches) tall to ride. It is estimated that the heights of​10-year-old boys are normally distributed with
mu equals μ=55.0 inches and sigma equals σ=4 inches.
a. What proportion of​ 10-year-old boys is tall enough to ridethe​ coaster?
b. A smaller coaster has a height requirement of
50 inches to ride. What proportion of​ 10-year-old boys is tallenough to ride this​ coaster?
c. What proportion of​ 10-year-old boys is tall enough to ridethe coaster in part b but not tall enough to ride the coaster inpart​ a?
