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# Binomial probability for government data

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According to government data, the probability that an adult has never been in a museum is 15%. In a random survey of 10 adults, what is the probability that at least 8 visited a museum?

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https://brainmass.com/math/probability/binomial-probability-government-data-593013

#### Solution Preview

P (k successes in n trials) = (n : k) p^k q ^n-k
n= number of trials
k = number of people in the museum
n - k = number of people not in the museum
p = probability of one person in the museum
q = 1 - p = probability of one person not in the museum

Now plug in for the following ...

#### Solution Summary

The solution uses binomial probability to examine government data and determine the probability that in a group of 10, at least 8 adults have visited a museum.

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