In a batch of 8,000 clock radios 3% are defective. A sample of 8 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?
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OpenStudy (anonymous):
???
OpenStudy (helder_edwin):
give me a second
checking my books
OpenStudy (anonymous):
?
OpenStudy (helder_edwin):
i think it is Bayes theorem
OpenStudy (helder_edwin):
or perhaps a binomial distribution
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OpenStudy (helder_edwin):
i am not sure but i think it is: p=3% q=97%
\[ \large \binom{8}{1}p^1q^{8-1} \]
OpenStudy (helder_edwin):
does it make sense with what u might be doing in your course?
OpenStudy (anonymous):
bayes theory would be more probable but i think it is conditional property
OpenStudy (helder_edwin):
if u compute what i wrote u get 19.39% of probability of rejecting the batch
OpenStudy (anonymous):
probability cannot equal more than 1
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