An engineer is going to redesign an ejection seat for an airplane. The seat was
ID: 3367292 • Letter: A
Question
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between normally distributed weights with a mean of 159 lb and a standard deviation of 28.6 lb. 150 lb and 191 lb. The new population of pilots has a. If a pilot is randomly selected, find the probability that his weight is between 150 ib and 191 lb. The probability is approximately(Round to four decimal places as needed ) ferent pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. The probability is approximately(Round to four decimal places as needed,) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important O B. Part (a) because the seat performance for a sample of pilots is more important O C. Part (b) because the seat performance for a single pilot is more important D. Part (b) because the seat performance for a sample of pilots is more important Click to select your answeris)Explanation / Answer
Solution:- Given that mean = 159 lb, standard deviation = 28.6 lb
a. P(150 < X < 191) = P((150-191)/28.6 < (x-?)/? < (191-191)/28.6)
= P(-1.4336 < Z < 0)
= 0.4236
b. For n = 31
P(150 < X < 191) = P((150-191)/(28.6/sqrt(31)) < (x-?)/? < (191-191)/(28.6/sqrt
(31))
= P(-7.9818 Z < 0)
= 0.5
c. option A. Part? (a) because the seat performance for a single pilot is more important.