An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 Ib and 171 lb. The new population of pilotshas normally distributed weights with a mean of 140 lb and a standard deviation of 27.4 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 130 lb and 171 Ib.The probability is approximately (Round to four decimal places as needed.)b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 130 Ib and 171 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 sample of pilots is more important.O B. Part (a) because the seat performance for a single pilot is more important.OC. Part (b) because the seat performance for a sample of pilots is more important.O D. Part (b) because the seat performance for a single pilot is more important. Standard Normal (z) Distribution: Cumulative Area from the LEFTStandard Normal (2) Distribution: Cumulative Area from the LEFT.00.01.02 .0304.05.06.07.080900.01020 04050607.090.050005040508051205160519952395279.53195359-3.50andlower0.1539854385478.5517.5557.559656365675.5714.575300010.25793583258715910.59485987.6026.6064.6103.6141-140003.0003.00030003.00030003.00030003000300020.3617962176255.6293.633163686406.6443.64806517-130005.0005.00050004.00040004.00040004000400030.4655465916628.6664.6700.6736.6772.6808.6844.6879-320007.0007.00060006.00060006.000600050005.00060.569156950.69857019.70547088.71237157.71907224-1.10010.0009.00090009.00080008.00080008D007.0007-3.00013.0013.00130012.001200110.6725772917324735773897422.7454.7486.751775490011.00110010.0010-290019.0018.00180017.00160016.00150015001400140.775807611764276737704773477647794.78237852-2.80026.0025.00240023.0023.0022.002100210020.00190.8.788179107939796779958023B051807881068133-2.70036.0034.0033.0032.00010030.00290028002700260.9.815981868212.823882648289B315834083658389-2.60047.0045.0044.0043.00410040.003900380037.00361.0.84138438846184858508.8531B564857785998621-250062.0060.00690057.00650064.005200510049.00481.18643866586868708872987498770879088108830.0089-24-2.30082.0080.00780075.00730071.00641.288498869888889078925894489628980899790150107.0104.01020099.00960094.009100890087.00841.390329049906690829099911591319147.91629177-220139.0136.0132.0129.01250122.01190116011301101.49192920792229236925192659279929293069319-2.10179.0174.01700166.01620158.015401500146.01431.59332.9345.93579370938293949406941894299441-2.00228.0222.0217.0212.0207.0202.01970192018801831.694529463.94749484949595059515952595359545-1.90287.0281.0274.0268.02620256.025002440229.02331.7.95549564.95739582.9591959996089616.96259633-1.80359.0361.03440336.03290322.0314.0301.0294-1.70446.0436.0427.0418.04090401.039203840375.03671.896419649.96569664967196789686969396999706-1.60548.053706260516.05050496.04850475046504551.99713971997269732973897449750975697619767-1.50688.0666.08430630.06180606.05940682067106692.0.9772.9778.978397889793.97989803980898129817-1.40808.0793.07780764.0749.0735.07210708O69406812.19821982698309834983898429846985098549857-13096809510934.0918.09010885.08890853083808232.298619864.98689871987598789881988498879890-12.1151.1131.1112.1093.1075105610381020100309852.3.9893.9896.98989901990499069909991199139916-1.1.13571336.13141292.1271.1251.12301210.1190.11702.49918992099229925992799299931993299349936-1.0.1587.1562.1539.1515.1492.146914461423.1401.13792.599389940.99419943994599469948994999519952-0.91841.1814.1788.1762.1736.1711.1685.1660.1635.16112.699539955.99569957995999609961996299639964-0.821192090206120332006.197719491922.1894.18672.799659966.99679968996999709971997299739974-07-0.62420238923582327.22962266223622062177.21482743270926762643.26112578.254625142483.24612.89974.9975.9976997799779978997999799980.99819982998299839988-0.53086306030152981.2946291228772843281027762.99981998499849985998599869986-0434463409.3372333633003264322831923156.31213.0998799879987998899899989998999909990-0338213703.37453707.3689363235943567362034833.199909991.9991999199929992999299929993999342074168A129A090A0524013297429363897385999959996-023.2999399939994999499949994999499959995-0146024662A5224483A443440443644325A2864247999699973.399959995999599969996999699969997-0050004960A9204880AB404801.47614721468146413.499979997.9997.9997399799979997.999799983.50and up00.01.02020405060708099999.00.01.02.030405.06.07.0809

Given information Mean µ = 140 lb Standard deviation σ = 27.4 lb Probability that his weight is between 130 lb and 171 lbFor 36 different pilots, probability that their mean weight is between 130 lb and 171 lb is given by c) Option b is correct i.e. Part (a) because the seat performance for a single pilot is more important.

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 Ib and 171 lb. The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.4 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 130 lb and 171 lb. The probability is approximately (Round to four decimal places as needed.) b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 171 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 sample of pilots is more important. O B. Part (a) because the seat performance for a single pilot is more important. OC. Part (b) because the seat performance for a sample of pilots is more important. O 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 130 Ib and 171 lb. The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.4 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 130 lb and 171 lb. The probability is approximately (Round to four decimal places as needed.) b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 171 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 sample of pilots is more important. O B. Part (a) because the seat performance for a single pilot is more important. OC. Part (b) because the seat performance for a sample of pilots is more important. O D. Part (b) because the seat performance for a single pilot is more important.

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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