SOLUTION: What is the probability that the number of heads will be less than or equal to 1200 out of 2500 tosses? P{H<= 1200 when you toss a coin 2500 times} define X_k ={5 if H; 1

Algebra ->  Probability-and-statistics -> SOLUTION: What is the probability that the number of heads will be less than or equal to 1200 out of 2500 tosses? P{H<= 1200 when you toss a coin 2500 times} define X_k ={5 if H; 1      Log On


   

Question 371790: What is the probability that the number of heads will be less than or equal to 1200 out of 2500 tosses?
P{H<= 1200 when you toss a coin 2500 times}
define X_k ={5 if H; 10 if H <---- should be on next line in braket

Please show me how to solve this. I have been working on it for over a week and cant seem to figure it out.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Use the normal approximation for the binomial distribution with mu+=+np+=+2500%2A0.50+=+1250, and sigma%5E2+=+npq+=+625, so that sigma+=+25. Then P%28%28H+-+1250%29%2F25%3C=%281200+-+1250%29%2F25+=+-2+%29+=+P%28Z%3C=-2%29+=+0.0228.