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Consider a company that produces a machine part. Its records show that the expected failure time of the part is 8 years. To meet the current demand, the company is going to produce 700 parts. Assume an exponential probability distribution. (a) Determine the probability that a random machine part lasts longer than t = 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20 years. (b) Graph the survival function versus time. (c) Determine the proportion of the 700 parts that fail during the 7th year.

Consider a company that produces a machine part. Its records show that the expected failure time of the part is 8 years. To meet the current demand, the company is going to produce 700 parts. Assume an exponential probability distribution. (a) Determine the probability that a random machine part lasts longer than t = 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20 years. (b) Graph the survival function versus time. (c) Determine the proportion of the 700 parts that fail during the 7th year.

MATLAB: An Introduction with Applications
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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Consider a company that produces a machine part. Its records show that the expected
failure time of the part is 8 years. To meet the current demand, the company is going
to produce 700 parts. Assume an exponential probability distribution.
(a) Determine the probability that a random machine part lasts longer than t = 5, 6, 7,
8, 9, 10, 11, 12, 13, 14, 15, 20 years.
(b) Graph the survival function versus time.
(c) Determine the proportion of the 700 parts that fail during the 7th year.
(d) Determine the proportion of parts that fail during the 9th year given that they have
survived 8 years.

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