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Dominik [7]
3 years ago
15

Say a business found that 98.3% of soda cans at a production facility in California are filled correctly. The company chooses 10

0 juice cans off the production line at that same facility. What assumption must be made for this study to follow the probabilities of a binomial experiment?
Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

Answer:

The events must be independent.

Step-by-step explanation:

The only assumption that must be made is that the events are independent. That is, the amount of soda in a given can does not depend on the amount of soda of any previous can filled at the same facility.

If this assumption holds, then the probability of finding exactly k cans of soda filled correctly would be

\displaystyle\binom{100}{k}(0.983)^k(1-0.983)^{100-k}

where

\displaystyle\binom{100}{k}=\displaystyle\frac{100!}{k!(n-k)!}

are combinations of 100 elements taken k at a time.

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