During a life expectance test of 20 light bulbs, the failure time are recorded as 4, 6, 18, 42, 50, ... (hours). Formulate the following tables from the failure data e. Failure density function, f(t) f hazard function, Z(t) g. Failure cumulative distribution function, F(t) h. Success rate (Reliability), R(t) i. Mean Time To Fail, MTTF j. The Overall Mean Time To Fail, MTTF (overall)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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During a life expectance test of 20 light bulbs,
the failure time are recorded as 4, 6, 18, 42,
50, ... (hours). Formulate the following tables
from the failure data
e. Failure density function, f(t) f hazard
function, Z(t) g. Failure cumulative distribution
function, F(t) h. Success rate (Reliability), R(t) i.
Mean Time To Fail, MTTF j. The Overall Mean
Time To Fail, MTTF (overall)
Failure
Hazard
Reliability
Time interval
Cumulative Distribution
Density
f(t)
MTTF
(overall)
Rate
(hrs)
F(t)
MTTF
Z(1)
R(t)
10
20
30
40
50
Transcribed Image Text:During a life expectance test of 20 light bulbs, the failure time are recorded as 4, 6, 18, 42, 50, ... (hours). Formulate the following tables from the failure data e. Failure density function, f(t) f hazard function, Z(t) g. Failure cumulative distribution function, F(t) h. Success rate (Reliability), R(t) i. Mean Time To Fail, MTTF j. The Overall Mean Time To Fail, MTTF (overall) Failure Hazard Reliability Time interval Cumulative Distribution Density f(t) MTTF (overall) Rate (hrs) F(t) MTTF Z(1) R(t) 10 20 30 40 50
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