According to an April 2005 report from the Substance Abuse and Mental Health Services Administration

(SAMHSA), 35% of people involved in treatment began drinking heavily between ages 15 and 17 (http://www.jointogether.org). Use the normal approximation to the binomial distribution to find the probability that in a poll of 1200 people in treatment, between 450 and 500 inclusive will have begun drinking heavily between ages 15 and 17.

a. Solve using normal approximation and Table 3 in Appendix B.

b. Solve using a computer or calculator and the normal approximation method.

c. Solve using a computer or calculator and the binomial probability function.