A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 years old. If 12 children are analyzed a.) What is the probability that at...

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

a.) What is the probability that at least 3 are hyperlipidemic

b.) What is the probability that exactly 3 are hyperlipidemic

c.) How many would you expect to meet the criteria for hyperlipidemia?