Question

A new roller coaster at an amusement park requires individuals to 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 μ=55.0 inches and σ=6 inches.

a. The proportion of​ 10-year-old boys tall enough to ride the coaster is nothing. ​(Round to four decimal places as​ needed.)

b. The proportion of 10​ year-old-boys tall enough to ride the smaller coaster is nothing. (Round to four decimal places as​ needed.)

c. The proportion of​ 10-year-old boys tall enough to ride the coaster in part b but not tall enough to ride the coaster in part a is nothing. (Round to four decimal places as​ needed.)

Answer 1

Given Me 55-0 T=6 X=56 propastion of loyer old tall enough to ride 22) x-M 56.0-55.0 6 6 6 2- 0.167 Corresponding p value 0.434 to side Sonallee coast let x 250 z = 50-55-0 &z= 0.833 Corresponding Pvalue = 0.2023 © proportion of 10 yearboy fall encuh to side cuastec in pad but not tair enough to side past @ = P(a)-P(b) - 0.434-0.2023 p = 0.2317