I have a homework question I can't figure out for the life of me.
1. A state senator believes that 25% of all senators on the committee will support his tax proposal. Suppose that this is correct and that 5 senators are approached at random.
A) What is the probability that at least 1 senator will agree
B) What is the probability that a majority of the 5 will strongly support the proposal?
I tried the formula p(x)=n!/x!(n-x)! (times) p^x (times) (1-p)^n-x
which led me to p(x)=5!/(1!95-1)! (times) .25^1 (times) (1-.25)^4
and this gave me .3955 and I know it's wrong ( I looked at the answer in the back of the book) Can someone please help me.