An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 135 and a standard deviation of 25.1 lb. If a pilot is randomly selected find the probability that his weight is between 130 lb and 181 lb.

Answer 1

z= (130 -135)/25.1
z =
z = (181- 135)/25.1
z =

Answer 2

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability between the two Z scores.

Answer 3

it diffcult to answer