For a random variable that is normally distributed with mean equal to 1300 and standard deviation equal to 250, determine the probability that a simple random sample of 25 items will have a mean that is between 1425 and 1550.

A. 0.0049

B. 0.9938

C. 0.8944

D. 0.0994

E. none of the above

For a random variable that is normally distributed with mean equal to 1300 and standard deviation equal to 250, determine the probability that a simple random sample of 25 items will have a mean that is greater than 1250.

A. 0.1587

B. 0.3085

C. 0.9938

D. 0.8413

E. none of the above

For a random variable that is normally distributed with mean equal to 1300 and standard deviation equal to 250, determine the probability that a simple random sample of 9 items will have a mean that is greater than 1500.

A. 0.8413

B. 0.1587

C. 0.0082

D. 0.9918

E. none of the above