A manufacturer of programmable calculators is attempting to determine a reasonable free-service period for a model it will introduce shortly. The manager of product testing has indicated that the calculators have an expected life of 60 months. Assume product life can be described by an exponential distribution.
A manufacturer of programmable calculators is attempting to determine a reasonable free-service period for a model it will introduce shortly. The manager of product testing has indicated that the calculators have an expected life of 60 months. Assume product life can be described by an exponential distribution.
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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Transcribed Image Text:A manufacturer of programmable calculators is attempting to determine a reasonable free-service period for a model it will introduce
shortly. The manager of product testing has indicated that the calculators have an expected life of 60 months. Assume product life can
be described by an exponential distribution.
T / MTBF
e-т / МТВF
T/ MTBF
e-T / MTBF
T/ MTBF
e-т / МТBF
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
0.2231
0.2019
1.50
4.00
0.0183
6.50
0.0015
1.60
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. If service contracts are offered for the expected life of the calculator, what percentage of those sold would be expected to fail during
the service period? (Round your answer to 4 decimal places.)
1-e-T/MTBF
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