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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 147 lb and a standard deviation of 28.9 lb.   Pictures of Charts are attached for the standard normal distribution.   a. If a pilot is randomly​ selected, find the probability that his weight is between 140lb and 191 lb. The probability is approximately? ​(Round to four decimal places as​ needed.)   b. If 40 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 191lb. The probability is approximately ​(Round to four decimal places as​ needed.)     c. When redesigning the ejection​ seat, which probability is more​ relevant? Choose one from below.     A. Part​ (a) because the seat performance for a sample of pilots is more important.   B. Part​ (b) because the seat performance for a sample of pilots is more important.   C. Part​ (a) because the seat performance for a single pilot is more important.   D. Part​ (b) because the seat performance for a single pilot is more important.

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 147 lb and a standard deviation of 28.9 lb.   Pictures of Charts are attached for the standard normal distribution.   a. If a pilot is randomly​ selected, find the probability that his weight is between 140lb and 191 lb. The probability is approximately? ​(Round to four decimal places as​ needed.)   b. If 40 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 191lb. The probability is approximately ​(Round to four decimal places as​ needed.)     c. When redesigning the ejection​ seat, which probability is more​ relevant? Choose one from below.     A. Part​ (a) because the seat performance for a sample of pilots is more important.   B. Part​ (b) because the seat performance for a sample of pilots is more important.   C. Part​ (a) because the seat performance for a single pilot is more important.   D. Part​ (b) because the seat performance for a single pilot is more important.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 147 lb
and a standard deviation of 28.9 lb.
 
Pictures of Charts are attached for the standard normal distribution.
 
a. If a pilot is randomly​ selected, find the probability that his weight is between 140lb and 191 lb.
The probability is approximately?
​(Round to four decimal places as​ needed.)
 
b. If 40 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 191lb.
The probability is approximately
​(Round to four decimal places as​ needed.)
 
 
c. When redesigning the ejection​ seat, which probability is more​ relevant?
Choose one from below.
 
 
A.
Part​ (a) because the seat performance for a sample of pilots is more important.
 
B.
Part​ (b) because the seat performance for a sample of pilots is more important.
 
C.
Part​ (a) because the seat performance for a single pilot is more important.
 
D.
Part​ (b) because the seat performance for a single pilot is more important.
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Transcribed Image Text:0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.5 and lower 0.0001 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0006 0.0008 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.001 0.0009 0.0009 0.0008 0.0007 0.0009 0.0008 0.0008 0.0007 -3 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.001 0.001 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.002 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.003 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.004 0.0039 0.0038 0.0037 0.0036 0.0051 0.0068 -2. 0.0062 0.006 0.0059 0.0057 0.0055 0.0054 0.0052 0.0049 0.0048 -2.4 0.0082 0.008 0.0078 0.0075 0.0073 0.0071 0.0069 0.0066 0.0064 0.0091 0.0119 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0116 0.0113 0.011 -2.1 0.0179 0.0174 0.017 0.0166 0.0162 0.0158 0.0154 0.015 0.0146 0.0143 -2 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.025 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.063 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.102 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.123 0.121 0.119 0.117 -1 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.166 0.1635 0.1611 -0.8 0.2119 0.209 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.7 0.242 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.5 0.3085 0.305 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.281 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.33 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.352 0.3483 -0.2 0.4207 0.4168 0.4129 0.409 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0.5 0.496 0.492 0.488 0.484 0.4801 0.4761 0.4721 0.4681 0.4641
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