In: Advanced Math
Suppose the lengths of human pregnancies are normally distributed with muμequals=266266 days and sigmaσequals=1616 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with mu equals 266μ=266 days and sigmaσequals=1616 days. The area to the leftleft of Upper X equals 240X=240 is 0.05210.0521. 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.) A. The proportion of human pregnancies that last moremore than nothing days is nothing. B. The proportion of human pregnancies that last lessless than nothing days is nothing. X font size decreased by 3 266266 font size decreased by 3 240240 A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 240 and 266. The curve's peak is near the top of the graph at horizontal coordinate 266. Two vertical line segments run from the horizontal axis to the curve at 240 and 266. The area under the curve to the left of 240 is shaded. 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.) A. The probability that a randomly selected human pregnancy lasts lessless than nothing days is nothing. B. The probability that a randomly selected human pregnancy lasts moremore than nothing days is nothing. (b) The figure to the right represents the normal curve with mu equals 266μ=266 days and sigmaσequals=1616 days. The area between xequals=280280 and x equals 295x=295 is 0.15580.1558. 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 nothing and nothing days is nothing. B. The proportion of human pregnancies that last less than nothing or more than nothing days is nothing. X font size decreased by 3 266266 font size decreased by 3 280280 font size decreased by 3 295295 A normal curve has a horizontal axis labeled "X" and three horizontal coordinates, 266, 280, and 295. The curve's peak is near the top of the graph at horizontal coordinate 266. Three vertical line segments run from the horizontal axis to the curve at 266, 280, and 295. The area under the curve between the vertical line segments at 280 and 295 is shaded. 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 between nothing and nothing days is nothing. B. The probability that a randomly selected human pregnancy lasts less than nothing or more than nothing days is nothing.