In: Statistics and Probability
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=40, p=0.35, X=20 P (X) = Can the normal distribution be used to approximate thisprobability? Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice.
P (X) =
Can the normal distribution be used to approximate probability?
A. No, the normal distribution cannot be used because np(1-p)greater than or equals10.
B. No, the normal distribution cannot be used because np(1-p)less than10.
C.Yes, the normal distribution can be used because np(1-p)greater than or equals10.
D.Yes, the normal distribution can be used because np(1-p)less than10.
Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice.
By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice.