Please answer part B:Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of 24,000 hours. Determine the probability that one of these light bulbs will last T / MTBF e-T / MTBF T / MTBF e-T / MTBF T / MTBF e-T / MTBF 0.10 0.9048 2.60 0.0743 5.10 0.0061 0.20 0.8187 2.70 0.0672 5.20 0.0055 0.30 0.7408 2.80 0.0608 5.30 0.0050 0.40 0.6703 2.90 0.0550 5.40 0.0045 0.50 0.6065 3.00 0.0498 5.50 0.0041 0.60 0.5488 3.10 0.0450 5.60 0.0037 0.70 0.4966 3.20 0.0408 5.70 0.0033 0.80 0.4493 3.30 0.0369 5.80 0.0030 0.90 0.4066 3.40 0.0334 5.90 0.0027 1.00 0.3679 3.50 0.0302 6.00 0.0025 1.10 0.3329 3.60 0.0273 6.10 0.0022 1.20 0.3012 3.70 0.0247 6.20 0.0020 1.30 0.2725 3.80 0.0224 6.30 0.0018 1.40 0.2466 3.90 0.0202 6.40 0.0017 1.50 0.2231 4.00 0.0183 6.50 0.0015 1.60 0.2019 4.10 0.0166 6.60 0.0014 1.70 0.1827 4.20 0.0150 6.70 0.0012 1.80 0.1653 4.30 0.0136 6.80 0.0011 1.90 0.1496 4.40 0.0123 6.90 0.0010 2.00 0.1353 4.50 0.0111 7.00 0.0009 2.10 0.1255 4.60 0.0101 2.20 0.1108 4.70 0.0091 2.30 0.1003 4.80 0.0082 2.40 0.0907 4.90 0.0074 2.50 0.0821 5.00 0.0067 a. At least 29,000 hours. (Round your intermediate calculations to 4 decimal place and round your final answer to 4 decimal places.) e-T/MTBF b. No longer than 7,000 hours. (Round your intermediate calculations to 4 decimal place and round your final answer to 4 decimal places.) 1−e-T/MTBF c. Between 7,000 hours and 29,000 hours. (Round your intermediate calculations to 4 decimal place and round your final answer to 4 decimal places.) P

Answered: Image /qna-images/answer/5dd6d4e3-4ca4-4338-bd47-a6d78c816eba.jpg

Answered: Please answer part B: Lucky Lumen…

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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Please answer part B:

Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of 24,000 hours. Determine the probability that one of these light bulbs will last

T / MTBF	e^{-T /} ^MTBF	T / MTBF	e^{-T /} ^MTBF	T / MTBF	e^{-T /} ^MTBF
0.10	0.9048	2.60	0.0743	5.10	0.0061
0.20	0.8187	2.70	0.0672	5.20	0.0055
0.30	0.7408	2.80	0.0608	5.30	0.0050
0.40	0.6703	2.90	0.0550	5.40	0.0045
0.50	0.6065	3.00	0.0498	5.50	0.0041
0.60	0.5488	3.10	0.0450	5.60	0.0037
0.70	0.4966	3.20	0.0408	5.70	0.0033
0.80	0.4493	3.30	0.0369	5.80	0.0030
0.90	0.4066	3.40	0.0334	5.90	0.0027
1.00	0.3679	3.50	0.0302	6.00	0.0025
1.10	0.3329	3.60	0.0273	6.10	0.0022
1.20	0.3012	3.70	0.0247	6.20	0.0020
1.30	0.2725	3.80	0.0224	6.30	0.0018
1.40	0.2466	3.90	0.0202	6.40	0.0017
1.50	0.2231	4.00	0.0183	6.50	0.0015
1.60	0.2019	4.10	0.0166	6.60	0.0014
1.70	0.1827	4.20	0.0150	6.70	0.0012
1.80	0.1653	4.30	0.0136	6.80	0.0011
1.90	0.1496	4.40	0.0123	6.90	0.0010
2.00	0.1353	4.50	0.0111	7.00	0.0009
2.10	0.1255	4.60	0.0101
2.20	0.1108	4.70	0.0091
2.30	0.1003	4.80	0.0082
2.40	0.0907	4.90	0.0074
2.50	0.0821	5.00	0.0067

a. At least 29,000 hours. (Round your intermediate calculations to 4 decimal place and round your final answer to 4 decimal places.)

e-^T/MTBF

b. No longer than 7,000 hours. (Round your intermediate calculations to 4 decimal place and round your final answer to 4 decimal places.)

1−e-^T/MTBF

c. Between 7,000 hours and 29,000 hours. (Round your intermediate calculations to 4 decimal place and round your final answer to 4 decimal places.)

P