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Lysandre Labs produces 200 Holo Casters a day. Each manufactured Holo Caster coming off the assembly line isdeemed faulty with a probability 1/100 , independently of the other Holo Casters. What is the probability that no morethan 5 Holo Casters are deemed faulty during a given day?
Descriptive Statistics are one of my favourite subjects, as well as Inferences and Econometrics. In general, I like them a lot.Hint: Binomials? Cases in which X occur? Read well as well, since it is not the same to ask for one time and to ask for at least one time something to occur.
OK, 1/100 is faulty, so the chance of 5 is 1/100^5, or 1/10,000,000,000200 tests means 200/100^5that's 2/100^4, or 0.00000002Is that right? I feel like there's some equation for expectation or something I should be using, but I think my answer works.
The first part will work if you take five at random and say what's the probability that all five are broken. You also have to consider the probability that the rest are not broken. You also have to consider other things like which 5 out of the 200 are broken. We want to consider all possible sets of 5 broken ones.And remember, the question says up to 5. So you got to consider the case of 0, 1, 2, 3, and 4 are broken as well