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Question -

It is known that 10% of certain articles manufactured are defective. What is the probability that in a random sample of 12 such articles, 9 are defective?



Answer -

Let us assume Xrepresent the number of times selecting defected articles in a random samplespace of given 12 articles

Also, the repeatedarticles in a random sample space are the Bernoulli trials

Clearly, we have X hasthe binomial distribution where n = 12 and p = 10% = 1/10

And, q = 1 – p = 1 –1/10 = 9/10

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