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jeka57 [31]
3 years ago
9

Consider the following binomial experiment: A study in a certain community showed that 5% of the people suffer from insomnia. If

there are 10,400 people in this community, what is the standard deviation of the number of people who suffer from insomnia?
Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

22.23

Step-by-step explanation:

Given that in a binomial experiment study, in a certain community showed that 5% of the people suffer from insomnia

i.e p = 0.05

q=0.95

n=10400

np=10400*0.05=202\\npq =494

Var(x)=npq=494\\std dev=\sqrt{494} \\=22.23

the standard deviation of the number of people who suffer from insomnia

=22.23

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