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What is the probability that a machine with 7 components that function independently with a failure rate of 2 what is the probability that at least 4 failed?
Wiki User
∙ 12y ago
probability of a machine component failing = 2/7
P(at least 4 failed) = P( 4 failed)+P(5 failed) +P(6 failed)+P(7 failed)
Using binomial probability:
P(4 failed ) =7C4 (2/7)^4 ((5/7)^3 = 0.084987
P(5 failed) = 7C5 (2/7)^5 (5/7)^2 = 0.020395
P(6 failed ) = 7C6 (2/7)^6 (5/7) = 0.002719
P(7 failed) = (2/7)^7 = 0.000155
Adding, P(at least 4 failures) = 0.108257
Wiki User
∙ 12y ago
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What is common-mode failure?
Loss of function in multiple structures, systems, and components in the same manner.
How do you use theoretical probability?
a machine has two parts the probability of failure of one parts in a given period of time is 0.06 the probability of failure of the other part in the same period os 0.08 what is the probability that the machine fails in that period of time ?
What is a sum in probability?
The sum of the probability of success and the probability of failure had better equal 1.00 (100%) or an error has been committed.
How is probability valuable?
Probability is one of the most important parts of our everyday lives - your brain roughly calculates probability of success/failure for every action you take so that it can decide whether the outcome is worth the risk of failure. For example, what is the probability I can jaywalk across this street without getting hit by a truck? If your brain determines that the probability is not good, you may be inclined to wait for the Walk sign.
What is a Bernoulli distribution?
A Bernoulli distribution is a discrete probability distribution which takes value 1 with success probability p and value 0 with failure probability q = 1 - p.
Every time a particular circuit is turned on there is a chance that one or more of its components will fail The probability that none of the components fail is 0.35 The probability that exactly one?
If the probability that no component fails on turn-on is 0.35, then the probability that none will fail after 2, 3, and 4 turn-on's is 0.1225, 0.042875, and 0.015, respectively. This is 0.35 to the 2nd, 3rd, and 4th powers, etc. As time goes on, the probability of no failure will approach zero, and the probability of failure will approach 1, but the probability of no failure or some failure will never become exactly 0 or 1.
What is common-mode failure?
Loss of function in multiple structures, systems, and components in the same manner.
What symbol is used for probability of success in statistics?
A "p" is used for probability of success. A "q" is used for probability of failure.
How do you use theoretical probability?
a machine has two parts the probability of failure of one parts in a given period of time is 0.06 the probability of failure of the other part in the same period os 0.08 what is the probability that the machine fails in that period of time ?
What is a sum in probability?
The sum of the probability of success and the probability of failure had better equal 1.00 (100%) or an error has been committed.
What are the 6 characteristics of a binomial distribution?
Each outcome must be classified as a success (p) or a failure (r),The probability distribution is discrete.Each trial is independent and therefore the probability of success and the probability of failure is the same for each trial.
How is probability valuable?
Probability is one of the most important parts of our everyday lives - your brain roughly calculates probability of success/failure for every action you take so that it can decide whether the outcome is worth the risk of failure. For example, what is the probability I can jaywalk across this street without getting hit by a truck? If your brain determines that the probability is not good, you may be inclined to wait for the Walk sign.
What does the Probability of success in a binomial trial symbol?
In typical notation, "p" is the probability of sucess and "q" is the probability of failure. So q = 1 - p. But for your question: p = p.
What is a Bernoulli distribution?
A Bernoulli distribution is a discrete probability distribution which takes value 1 with success probability p and value 0 with failure probability q = 1 - p.
What do forensic engineering do?
Investigate materials, products, structures or components that fail or do not operate or function as intended, causing personal injury or damage to property, in order to determine the cause and the origin of failure.
What do forensic engineers do?
Investigate materials, products, structures or components that fail or do not operate or function as intended, causing personal injury or damage to property, in order to determine the cause and the origin of failure.
What do forensic engineer do?
Investigate materials, products, structures or components that fail or do not operate or function as intended, causing personal injury or damage to property, in order to determine the cause and the origin of failure.
