35% of emails arriving at a server are spam messages. Consider a random sample of 200 emails arriving at the server. What is the probability that 80 or more are spam messages? Complete the exercises below to find the solution.

A. The mean (center) of the sampling distribution is _______ . Enter the value as a decimal with 2 digits after the decimal point.

B. The standard error (variability) of the sampling distribution is _________ . Enter the value as a decimal with 4 digits after the decimal point.

C. The shape is approximately normal since n = 200 gives np = ________ and nq = 130 are over 10. Enter this value as a whole number.

D. After calculating the sample proportion that is equivalent to 80 spam messages out of the sample, the z score is calculated to be z = ______ when rounded to 2 digits after the decimal point.

E. Using the table from the book, the probability a random sample of 200 messages will have 80 or more spam messages is ________ . Give the result with 4 digits after the decimal point.