Help the problem is due in the morning.
I did post this in the urgent math help section, but I did not get an answer, so I am trying here.
I am going to try and delete my post in the Urgent section so I don't have duplicates.
Thanks all you math geniuses!
Use the binomial distriubution with n=20, p = 0.5 to compare accuracy of the normal approximation to the binomial.
a. Compute the exact probablities and corresponding normal approximations for y<2.
b. The normal approximation can be improved slightly by taking P(y<2.5).
Compare your results. Why should this help?
c. Compute the exact probabilities and corresponding normal approximations for 3<y<6 (note: 3.5<y<6.5 seems to work better for the normal approximation.)
Note: (0.5) to the 20th = 0.000001)