An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 201 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 27.5 lb. a. If a pilot is randomly selected, find the probability that his weight is between 140lb and 201lb. The probability is approximately0.58750(Round to four decimal places as needed.) b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 201 lb. The probability is approximately?? An engineer is going to redesign an ejection seat for an airplane. The seat wasdesigned for pilots weighing between 140 Ib and 201 Ib. The new population ofpilots has normally distributed weights with a mean of 148 Ib and a standarddeviation of 27.5 lb.Click here to view page 1 of the standard normal distribution.Click here to view page 2 of the standard normal distribution.a. If a pilot is randomly selected, find the probability that his weight is between140 Ib and 201 lb.The probability is approximately 0.5875. (Round to four decimal places asneeded.)- .5867b. If 36 different pilots are randorweight is between 140 lb and 20You answered:Correct 0.5875 ± 0.0002answers: 0.5873 ± 0.0002The probability is approximately0.5874 to 0.5875 ± 0.0002 An engineer is going to redesign an ejection seat for an airplane. The seat wasdesigned for pilots weighing between 140 Ilb and 201 Ib. The new population ofpilots has normally distributed weights with a mean of 148 lb and a standarddeviation of 27.5 lb.Click here to view page 1 of the standard normal distribution.Click here to view page 2 of the standard normal distribution.a. If a pilot is randomly selected, find the probability that his weight is between140 Ib and 201 lb.The probability is approximately 0.5875. (Round to four decimal places asneeded.)b. If 36 different pilots are randomly selected, find the probability that their meanweight is between 140 lb and 201 Ib.The probability is approximately (Round to four decimal places as needed.)

Question

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 201 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 27.5 lb. a. If a pilot is randomly​ selected, find the probability that his weight is between 140lb and 201lb. The probability is approximately0.58750​(Round to four decimal places as​ needed.) b. If 36 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 201 lb. The probability is approximately?? An engineer is going to redesign an ejection seat for an airplane. The seat wasdesigned for pilots weighing between 140 Ib and 201 Ib. The new population ofpilots has normally distributed weights with a mean of 148 Ib and a standarddeviation of 27.5 lb.Click here to view page 1 of the standard normal distribution.Click here to view page 2 of the standard normal distribution.a. If a pilot is randomly selected, find the probability that his weight is between140 Ib and 201 lb.The probability is approximately 0.5875. (Round to four decimal places asneeded.)- .5867b. If 36 different pilots are randorweight is between 140 lb and 20You answered:Correct 0.5875 ± 0.0002answers: 0.5873 ± 0.0002The probability is approximately0.5874 to 0.5875 ± 0.0002 An engineer is going to redesign an ejection seat for an airplane. The seat wasdesigned for pilots weighing between 140 Ilb and 201 Ib. The new population ofpilots has normally distributed weights with a mean of 148 lb and a standarddeviation of 27.5 lb.Click here to view page 1 of the standard normal distribution.Click here to view page 2 of the standard normal distribution.a. If a pilot is randomly selected, find the probability that his weight is between140 Ib and 201 lb.The probability is approximately 0.5875. (Round to four decimal places asneeded.)b. If 36 different pilots are randomly selected, find the probability that their meanweight is between 140 lb and 201 Ib.The probability is approximately (Round to four decimal places as needed.)

Accepted Answer

Draw the normal curve and shade the area to the between z=-0.2909 and z=1.9273.

The required shaded…