Question

Your shop has produced a batch of 2000 parts today and shipped to your customer. Each...

Your shop has produced a batch of 2000 parts today and shipped to your customer. Each part in the batch has a probability of being defective as 0.005.
If the batch has 3 or more defectives, the batch is returned. What is the probability of a batch of 2000 being returned by the customer? Also, please show how it can be solve using excel.?
Math   Statistics-And-Probability   
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Answer #1

I have answered the question below using excel

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Answer:

Here Probability of being defective is 0.005

Number of trials = 2000 = n

We need to find the probability of returning back => It is returned if it has greater than or equal to 3 defectives

Greater or equal to 3 means => Greater than 2 defectives => x = 2

BINOMDIST(x, n, p, TRUE) = cumulative probability distribution F(x) value at x for the binomial distribution B(n, p), i.e. the probability that there are at most x successes in n trials where the probability of success on any trial is p.

Probability of return = 1 - Prob ( 2 defectives)

= 1 - BINOMDIST(2,2000,0.005,true) = 0.9973

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