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Thirty percent of students graduate from high school before they reach the age of 18. In...

Thirty percent of students graduate from high school before they reach the age of 18. In a random sample of 16 high-school graduates, what is the probability that:

a. more than 10 of them graduated before they were 18 years old?

b. at most 4 of them graduated before they were 18?

c. fewer than 7 of them graduated after they turned 18?

Math   Statistics-And-Probability   
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Answer #1

Let X denote the number of students graduate from high school before they reach the age of 18.
Thus, X   Binomial(n = 16, p = 0.30)

a) P(X > 10) =  
= 0.0003 (from cumulative binomial distribution)

b) P(X <= 4) =    
= 0.4499 (from cumulative binomial distribution)

c) P(X < 7) =    
= 0.8247 (from cumulative binomial distribution)

Hope this answers your query!

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