A recent study reported that the prevalence of hyperlipidemi

A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2–6 years of age. If 12 children are analyzed,

What is the probability that at least 3 are hyperlipidemic?

What is the probability that 3 are hyperlipidemic?

How many would be expected to meet the criteria for hyperlipidemia?

Solution

A)

P(X > 3) = 1 – P(X < 3) = 1 – {P(X=0) + P(X=1) + P(X=2)}

P(X = 0) = 0.0138

P(X = 1) = 0.0712

P(X = 2) = 0.1678

= 1- {0.0138 + 0.0712 + 0.1678) =1- 0.2528 = 0.7472.

B)

P(X=3) = 0.2397.

C) NOT POSSIBLE 12(0.3) = 3.6