SOLUTION: A study reported the prevalence of asthma is 30% in children 2-6 years of age. If 12 children were analyzed How many children would be expected to meet the criteria for asthma?

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Question 911665: A study reported the prevalence of asthma is 30% in children 2-6 years of age. If 12 children were analyzed
How many children would be expected to meet the criteria for asthma?
What is the probability that at least 3 are asthmatic?
What is the probability that exactly 3 are asthmatic?
how do I figure this out?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(asthma) = .30, n = 12
P(x ≥ 3) = 1 - P(x ≤ 2) = 1 - binomcdf(12, .30,2) Using TI Calculator
P(x = 3) = binompdf(12, .30,3) Using TI Calculator
by Hand:
Using P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+
p and q are the probabilities of success and failure respectively.
In this case p= .30 , q = .70, n = 12
nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29
for ex:
P(x = 3) = P+%28x%29=+highlight_green%2816C3%29%28.30%5E3%29%28.70%29%5E%289%29+