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I have the following question in one of my tutorials. I need some help in resolving this.

Background: A manufacturing company developed 40000 new drugs and they need to be tested.

Question

The QA checks on the previous batches of drugs found that — it is 4 times more likely that a drug is able to produce a better result than not.

If we take a sample of ten drugs, we need to find the theoretical probability that at most three drugs are not able to do a satisfactory job.

a.) Propose the type of probability distribution that would accurately portray the above scenario, and list out the three conditions that this distribution follows.

b.) Calculate the required probability.

Thanks,

Vicky