Write the calculator steps for each question. Round all answers to the nearest ten-thousandth (4 decimal places) or nearest 100th of a percent. For example: .3482 = 34.82% .
1) According to National Institute of Diabetes and Digestive and Kidney Disease, approximately 21% of youth
aged 12-19 are considered “obese”. Let X represent the number of youths aged 12-19 who are “obese”.
a) If 8 youths aged 12-19 are randomly chosen, find P(X = 3).
b) If 8 youths aged 12-19 are randomly chosen find the probability that less than 7 are “obese”.
c) If 8 youths aged 12-19 are randomly chosen find the probability than more than half are “obese”.
d) If 10 youths aged 12-19 are randomly chosen find P(X < 5).
e) If 10 youths aged 12-19 are randomly chosen find the probability that at least three are “obese”.
f) If 1000 youths aged 12-19 are randomly chosen, find P(X ≤ 200).
g) If 1000 youths aged 12-19 are randomly chosen, find μ and σ for the number who are “obese”