Let X1,X2,... be i.i.d. with distribution Exponential(2). Use the central limit theorem to estimate the probability.
S is a sumation 1000 = n k = 1 <= is greater or less then. (sorry I don't know latex and I can't transfer word 07 equations over)
P(S Xn <= 505)
This is what i can do.
E(x) = 1/2 var(x)= 1/4 Sd(x) = 1/2
P( (S1000 - 1000*.5) /(sqrt(1000)*.5 ) <= (505 - 1000) /(sqrt(1000) * .5 ) )
I don't know where to go from here nor do I know if i set the problem up correctly. Sorry about the notation and stuff I don't know how to right equations in this. If I start to come here often I will learn latex.