Question

In: Statistics and Probability

The life span of the spark plug that starts the engine is kept by how many...

The life span of the spark plug that starts the engine is kept by how many times it ignites and
behaves according to the normal distribution. Average spark plug life of 5000 sparks and standard deviation 1100
firing is menstruation.
a) What is the reliability of the spark plug for 3500 ignitions?
b) How many firings are the design life that will ensure 0.95 reliability?
c) Spark plugs are warranted for 4000 ignitions. What percentage of spark plugs sold come back from warranty?
d) It is known that a spark plug fires 3500 times without any problem. Find the reliability of the same spark plug for an additional 500 ignitions.

Solutions

Expert Solution

Q-a) reliability of spark plug with 3500 saprk is 0.9115

Q-b) 3095.5 spark can be done with 0.95 reliability

Q-c) 18.14% spark plug will come back for warranty within 4000 sparks

Q-d) 0.0929 reliability have with min 3500spark complete and additional 500 extra sparks.


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