a. If service contracts are offered for the expected life of the calculator, what percentage of those sold would be expected to fail duringthe service period? (Round your answer to 4 decimal places.)1-e-T/MTBFb. What service pericplaces and final answer to the nearest whole number.)would result in a failure rate of appimately 20 percent? (Round intermediate calculations to 2 decimalTmonths A manufacturer of programmable calculators is attempting to determine a reasonable free-service period for a model it will introduceshortly. The manager of product testing has indicated that the calculators have an expected life of 60 months. Assume product life canbe described by an exponential distribution.-T / MTBFeMTBFт / МТВFт / МТВF-Tт / МТВF-TМТВF0.100.90482.600.07435.100.00610.200.81872.700.06725.200.00550.300.74082.800.06085.300.00500.400.67032.900.05505.400.00450.500.60653.000.04985.500.00410.600.54883.100.04505.600.00370.700.49663.200.04085.700.00330.800.44933.300.03695.800.00300.900.40663.400.03345.900.00271.000.36793.500.03026.000.00251.100.33293.600.02736.100.00221.200.30123.700.02476.200.00201.300.27253.800.02246.300.00181.400.24663.900.02026.400.00171.500.22314.000.01836.500.00151.600.20194.100.01666.600.00141.700.18274.200.01506.700.00121.800.16534.300.01366.800.00111.900.14964.400.01236.900.00102.000.13534.500.01117.000.00092.100.12554.600.01012.200.11084.700.00912.300.10034.800.00822.400.09074.900.00742.500.08215.000.0067

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-е-Т/МТВF b. What service period would result in a failure rate of approximately 20 percent? (Round intermediate calculations to 2 decimal places and final answer to the nearest whole number.) months

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-е-Т/МТВF b. What service period would result in a failure rate of approximately 20 percent? (Round intermediate calculations to 2 decimal places and final answer to the nearest whole number.) months

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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Question

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
b. What service peric
places and final answer to the nearest whole number.)
would result in a failure rate of app
imately 20 percent? (Round intermediate calculations to 2 decimal
T
months

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
MTBF
т / МТВF
т / МТВF
-T
т / МТВF
-T
МТВF
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

Expert Solution

Step 1

here given ,

expected life of calculator = 60 months

MTBF = 60

now for exponential distribution

$p (t \leq T) = 1 - e^{- \frac{T}{M T B F}}$

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