Answer
a. 0.362
b. 0.119
c. 0.061
Work Step by Step
Given $\mu=476, \sigma=22$
a. Between 476 and 500 passengers
$z(500)=\frac{500-476}{22}=1.091$
The probability between z=0 and 1.091 is 0.362
b. Less than 450 passengers
$z(450)=\frac{450-476}{22}=-1.182$
The probability below z=-1.182 is 0.119
c. More than 510 passengers
$z(510)=\frac{510-476}{22}=1.545$
The probability above z=1.545 is 0.061