Question: 1 Consider components whose failures are described by an exponential distribution with lambda = .0246 a) What proportion of the components will fail under normal

1

Consider components whose failures are described by

an exponential distribution with lambda = .0246

a) What proportion of the components will fail under normal use by 200 time units?

b)What is the probability that such a component will survive beyond 200 time units under normal use?

c)Assume that you receive new components from a supplier, who claims a failure rate specification exactly the same as you have estimated. To double check on the failure rate of these new components you are designing an experiment, in which you have predetermined the number of failures to be 5 over a test duration of 100 time units. You want to retain a 95% confidence level. What will be your sample size in this experimental design?

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