Question

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?

Answer 1

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