Step 1 :Suppose the lengths of human pregnancies are normally distributed with \(\mu=266\) days and \(\sigma=16\) days.
Step 2 :The figure to the right represents the normal curve with \(\mu=266\) days and \(\sigma=16\) days. The area to the left of \(X=245\) is 0.0947.
Step 3 :The area under the curve of a probability distribution represents the probability of an event occurring. In this case, the area to the left of \(X=245\) represents the probability that a randomly selected human pregnancy lasts less than 245 days.
Step 4 :This is because the area to the left of a point on a normal distribution curve represents the probability of a value being less than that point.
Step 5 :Therefore, the correct choice is A. The probability that a randomly selected human pregnancy lasts less than 245 days is 0.0947 or 9.47%.
Step 6 :Final Answer: \(\boxed{A. The probability that a randomly selected human pregnancy lasts less than 245 days is 0.0947 or 9.47\%}\).