The mean of a normal distribution is 400 kg. The standard deviation is 10 kg. What is the area between 415 kg and the mean of 400 kg?
A) 0.5000
B) 0.1932
C) 0.4332
D) 0.3413
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The area between 415 kg and the mean of 400 kg is the area under the normal distribution curve between z-scores of (415-400)/10 = 1.5 and 0. The area under the normal distribution curve between any two z-scores can be found using a standard normal distribution table or a calculator. The area between z-scores of 1.5 and 0 is 0.4332.

The Mean of a Normal Distribution Is 400 Kg