### Pilot Weight Distribution and Ejection Seat DesignAn engineer is planning to redesign an ejection seat for an airplane. Initially, the seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots exhibits a normally distributed weight with a mean of 127 lb and a standard deviation of 25.4 lb.#### Useful Resources* [Click here to view page 1 of the standard normal distribution.](#)* [Click here to view page 2 of the standard normal distribution.](#)#### Problem Analysis**a. Single Pilot Weight Probability****Question:** If a pilot is randomly selected, what is the probability that his weight is between 120 lb and 161 lb?**Solution:** The probability is approximately **0.5202**. (Round to four decimal places as needed.)**b. Mean Weight of Multiple Pilots****Question:** If 36 different pilots are randomly selected, what is the probability that their mean weight is between 120 lb and 161 lb?**Solution:** The probability is approximately **[Input Required]**. (Round to four decimal places as needed.)Please refer to the provided links for the standard normal distribution tables to assist with your calculations.

We have to find the following probabilities.

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 127 Ib and a standard deviation of 25,4 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 between 120 Ib and 161 Ib. The probability is approximately .5202 . (Round to four decimal places as needed.) b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 120 Ib and 161 lb. The probability is approximately. (Round to four decimal places as needed.)

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 127 Ib and a standard deviation of 25,4 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 between 120 Ib and 161 Ib. The probability is approximately .5202 . (Round to four decimal places as needed.) b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 120 Ib and 161 lb. The probability is approximately. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5. the distribution is normal. Explain how you would go about answering the following questions (include your answer to the question in your response): How many sodas would an individual at the 75thpercentile drink per day?
Suppose that the walking step lengths of adults are normally distributed with a mean of 2.4 feet and a standard deviation of 0.3 feet. A sample of 34 step lengths is taken. Find the probability that the mean of the sample taken is more than 2.5 feet. Your answer should be from the cumulative normal distribution table.
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be less than 260 lbs?
Based on data from the National Health Board, weights of men are normally distributed with a mean of 178 lbs, and a standard deviation of 29 lbs. Find the probability that 20 randomly selected men will have a mean weight between 170 and 190.
A balanced die with six sides is rolled 60 times. Find the mean and the standard deviation of the distribution of X. Interpret
You may need to use the appropriate appendix table or technology to answer this question. The weight of football players is normally distributed with a mean of 220 pounds and a standard deviation of 20 pounds. What is the probability of a player weighing less than 255 pounds
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is greater than 295.
Minister of Education Inese Puuce measured the English test scores of every child in the Grand Duchy of Vidzeme. Minister Puuce found that roughly the same number of kids got As and Fs, but very few children got Cs. Does she have a normal distribution or not? Why or why not?
A random sample of 12 graduates of a certain secretarial school typed an average of 82.6 words per minute with a standard deviation of 8.1 words per minute. Assuming a normal distribution for the number of words typed per minute, find a 95% confidence interval for the average number of words typed by all graduates of this school. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <μ< (Round to two decimal places as needed.)