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
icon
Related questions
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
Transcribed Image Text: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
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 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(tT) =1-e-TMTBF

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman