Answer:
(a) The mean time to fail is 9491.22 hours
The standard deviation time to fail is 9491.22 hours
(b) 0.5905
(c) 3.915 × 10⁻¹²
(d) 2.63 × 10⁻⁵
Explanation:
(a) We put time to fail = t
∴ For an exponential distribution, we have f(t) =
Where we have a failure rate = 10% for 1000 hours, we have(based on online resource);
e^(1000·λ) - 0.1·e^(1000·λ) = 1
0.9·e^(1000·λ) = 1
1000·λ = ㏑(1/0.9)
λ = 1.054 × 10⁻⁴
Hence the mean time to fail, E = 1/λ = 1/(1.054 × 10⁻⁴) = 9491.22 hours
The standard deviation = √(1/λ)² = √(1/(1.054 × 10⁻⁴)²)) = 9491.22 hours
b) Here we have to integrate from 5000 to ∞ as follows;
(c) The Poisson distribution is presented as follows;
p(x = 3) = 3.915 × 10⁻¹²
d) Where at least 2 components fail in one half hour, then 1 component is expected to fail in 15 minutes or 1/4 hours
The Cumulative Distribution Function is given as follows;
p( t ≤ 1/4) .
Brake system
Explanation: the engine doesn’t need to be running to make the brake system work the brake system it’s independent
Answer:
Wizkid
Explanation:
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Answer:
Check Explanation.
Explanation:
ENGINEERING ECONOMY:
In a simple way, Engineering Economy simply refers to the study of Economics which is related to engineers that is the study of Economic decisions by people in the engineering field. The study of Engineering Economy is very important because Engineering is a major manufacturing part in every country's economy.
With the study of Economics by Engineering that is Engineering Economy, engineers can make rational decisions after seeing alternatives.
The foundation of Engineering Economy in terms of seven basic principles:
(A). Creation of Alternatives: there will always be a problem and every problem had one or more solutions. When a problem has been seen as a problem alternative solutions come in.
(B). Differences in the Alternatives : this part is when engineers makes the best decision(choice) among alternates.
(C). Your viewpoint should be consistent: consistency is power. In order to make decisions in Engineering works or projects, viewpoint should be consistent.
(D). Develop Common Performance Measures: in order to make sure that the project is perfected there should be common performance measures.
(E). Considering Relevant Criteria: relevant Criteria will be met before the best choice is decided
(F). Risk making: Engineering projects should not be put under risk and thus is why this principle is very important.
(G). Decision retargeting: go back to the alternatives and recheck your choices.