Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability.
n=30, p=0.20.2, and X=15
(a) P(X)= ____ (round to 4 decimal places)
(b) Can the normal distribution be used to approximate this probability?A. Yes, the normal distribution can be used because np(1-p)≥10.B. No, the normal distribution cannot be used because np(1-p)≥10.C. Yes, the normal distribution can be used because np(1-p)<10.D. No, the normal distribution cannot be used because np(1-p)<10
(c) Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer blanks in your choice.
A. P(X)=______ (Round to four decimal places as needed.)B. There is no solution.
By how much do the exact and approximated probabilities differ? 2 choices A or B.A. ________ (Round to four decimal places as needed.)B. There is no solution.