D
Please tell me how I've misused the binomial equation... or congratulate me for being a bright guy. Just kidding on the congrats for being a bright guy.
I have designed a new assembly. I want to develop the sample size for a test to uncover all unknown failure modes with a reliability less than 95%. For example, I may have several yet unknown failure modes like: leak failure mode with 90% failure rate, a overheat failure mode with 70% failure rate, and a rust failure mode with 11% failure rate, which I would like to discover.
I use the binomial equation by plugging in p=.05 (potential for a failure or 1-.95) n = 45 (sample size), and I get a cumulative probability of .90.
So I am making a statement that if I run a test with 45 samples, I have a 90% chance of all failure modes with a reliability of less than 95%, occurring on the this test. Is this a correct statement? Have I mis-used the binomial distribution?
Thanks!
I have designed a new assembly. I want to develop the sample size for a test to uncover all unknown failure modes with a reliability less than 95%. For example, I may have several yet unknown failure modes like: leak failure mode with 90% failure rate, a overheat failure mode with 70% failure rate, and a rust failure mode with 11% failure rate, which I would like to discover.
I use the binomial equation by plugging in p=.05 (potential for a failure or 1-.95) n = 45 (sample size), and I get a cumulative probability of .90.
So I am making a statement that if I run a test with 45 samples, I have a 90% chance of all failure modes with a reliability of less than 95%, occurring on the this test. Is this a correct statement? Have I mis-used the binomial distribution?
Thanks!