Suppose the lengths of human pregnancies are normally distributed with mu?equals

Question

Suppose the lengths of human pregnancies are normally distributed with mu?equals=266 days and sigma?equals=16 days. Complete parts ?(a) and? (b) below. ?(a) The figure to the right represents the normal curve with mu equals 266?=266 days and sigma?equals=16 days. The area to the leftleft of Upper X equals 230X=230 is 0.0122. Provide two interpretations of this area. Provide one interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice. ?(Type integers or decimals. Do not? round.) A. The proportion of human pregnancies that last lessless than nothing days is nothing. B. The proportion of human pregnancies that last moremore than nothing days is nothing. X font size decreased by 3 2266 font size decreased by 3 230 A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 230 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 230 and 266. The area under the curve to the left of 230 is shaded. Provide a second interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice. ?(Type integers or decimals. Do not? round.) 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 266?=266 days and sigma?equals=1616 days. The area between xequals=235235 and x equals 250x=250 is 0.13230.1323. Provide two interpretations of this area. Provide one interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice. ?(Type integers or decimals. Do not round. 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 235235 font size decreased by 3 250250 A normal curve has a horizontal axis labeled "X" and three horizontal coordinates, 235, 250, and 266. 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 235, 250, and 266. The area under the curve between the vertical line segments at 235 and 250 is shaded. Provide a second interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice. ?(Type integers or decimals. Do not round. Use ascending? order.) A. The probability that a randomly selected human pregnancy lasts less than nothing or more than nothing days is nothing. B. The probability that a randomly selected human pregnancy lasts between nothing and nothing days is nothing. Click to select and enter your answer(s).

Explanation / Answer

(a)A. The proportion of human pregnancies that last less than 230 days is 0.0122

The area under the curve to the left of 230 is shaded.

(b) A. The proportion of human pregnancies that last between 235 and 250 days is 0.1323

The area under the curve between the vertical line segments at 235 and 250 is shaded.

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