(a) What is the probability that 2 or more are bad, when he samples 10 of them? (b) Instead, he comes in and just starts check product one after another, without replacement, until he finds 4 bad. What is the probability it takes 20 or more checks before he find the 2 bad products?

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Can you please help me solve parts a and b of the question attached as an image?

A investigator at a production facility knows that the fixed probability that anyone product sampled,
historically, is bad with probability p = .05
(a) What is the probability that 2 or more are bad, when he samples 10 of them?
(b) Instead, he comes in and just starts check product one after another, without replacement, until he
finds 4 bad. What is the probability it takes 20 or more checks before he find the 2 bad products?
Transcribed Image Text:A investigator at a production facility knows that the fixed probability that anyone product sampled, historically, is bad with probability p = .05 (a) What is the probability that 2 or more are bad, when he samples 10 of them? (b) Instead, he comes in and just starts check product one after another, without replacement, until he finds 4 bad. What is the probability it takes 20 or more checks before he find the 2 bad products?
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