One way of checking the effect of undercoverage, non-response, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 24% of the Canadian population over 15 years of age are first-generation: that is, they were born outside Canada. The number X of first generation Canadians in random samples of 1000 persons over 15 should therefore vary with the binomial (n=1000, p=.24) distribution. A) what are the mean and standard deviation of X?

Question

anonymous · Answer

Do you know how to determine the mean and standard deviation of a binomial distribution...?

anonymous · Answer

not really

anonymous · Answer

I actually figured out how to do it but need help finding the normal approximation any idea

anonymous · Answer

Yes, use the central limit theorem... you'll have $X\sim N(np,\sqrt{np(1-p)})$.