(b) The figure to the right represents the normal curve with $\mu=266$ days and $\sigma=16$ days. The area between $x=235$ and $x=300$ is 0.9569 . Provide two interpretations of this area.
Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Use ascending order.)
A. The proportion of human pregnancies that last between 235 and 300 days is 0.9569 .
B. The proportion of human pregnancies that last less than or more than days is
Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.)
A. The probability that a randomly selected human pregnancy lasts less than $\square$ or more than days is
B. The probability that a randomly selected human pregnancy lasts between [ I Ind days is
Answer
Final Answer: \(\boxed{2. The probability that a randomly selected human pregnancy lasts between 235 and 300 days is 0.9569.}\)
Step 1 ：The area under the curve in a normal distribution represents the probability of an event occurring within a certain range. In this case, the event is the duration of a human pregnancy, and the range is between 235 and 300 days. The area of 0.9569 represents the proportion of pregnancies that last between these two values.
Step 2 ：For the second interpretation, we can think of it in terms of probability. The area under the curve also represents the probability of a randomly selected event (in this case, a human pregnancy) falling within the given range. So, the probability that a randomly selected human pregnancy lasts between 235 and 300 days is 0.9569.
Step 3 ：Final Answer: \(\boxed{1. The proportion of human pregnancies that last between 235 and 300 days is 0.9569.}\)
Step 4 ：Final Answer: \(\boxed{2. The probability that a randomly selected human pregnancy lasts between 235 and 300 days is 0.9569.}\)
