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: [Hint: Use binomial table]
30%
sample : 16
(3 marks)
a. More than 10 of them graduated before they were 18 years old?
(3 marks)
b. At most 4 of them graduated before they were 18?
(3 marks)
c. Fewer than 7 of them graduated after they turned 18?
(2 marks)
d. Would the binomial probability distribution representing the sample in Question 4a be skewed?
If yes, in what direction? Describe the shape of the distribution in context of the study.