# Math Help - central limit theorem

1. ## central limit theorem

Homework problem: toss a fair coin 400 times. use the central limit theorem to find an approximation for the probability of at most 190 heads.

This seems like it should be simple (it probably is, sorry!) but I have tried to tackle it with both histogram correction and without and neither have turned up the correct answer.
With histogram correction I wind up with .8289, while the answer is .1711.
Without correction I can't get any answer. The answer manual lists .1587 as the answer without histogram correction.

Any help would be fantastic! Thank you!

2. Originally Posted by strgrl
Homework problem: toss a fair coin 400 times. use the central limit theorem to find an approximation for the probability of at most 190 heads.

This seems like it should be simple (it probably is, sorry!) but I have tried to tackle it with both histogram correction and without and neither have turned up the correct answer.
With histogram correction I wind up with .8289, while the answer is .1711.
Without correction I can't get any answer. The answer manual lists .1587 as the answer without histogram correction.

Any help would be fantastic! Thank you!
Perhaps another look at the Central Limit Theorem is in order: Central limit theorem - Wikipedia, the free encyclopedia

Can you show the details of your application of it.