A random telephone poll is conducted to ascertain public opinion concerning the construction of a nuclear power plant in a particular community. Assume that there are 150,000 numbers listed for private individuals and that 90,000 of these would elicit a negative response if contacted. Let X denote the number of negative responses obtained in 15 calls.
(a) Find the density for X.
(b) Find E[X] and Var X.
(c) Set up the calculations needed to find P [X > 6].
(d) Use the binomial tables to approximate P > 6].