Question

Suppose the lengths of human pregnancies are normally distributed with

muμequals=266

days and

sigmaσequals=16days. 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=290290 and x equals 305x=305 is 0.05940.0594. 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 less than nothing or more than nothing days is nothing. B.The proportion of human pregnancies that last between nothing and nothing days is nothing.

X font size decreased by 3 266266 font size decreased by 3 290290 font size decreased by 3 305305 A normal curve has a horizontal axis labeled "X" and three horizontal coordinates, 266, 290, and 305. 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, 290, and 305. The area under the curve between the vertical line segments at 290 and 305 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 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.

Answer 1

id as Area to the left of x= 240 is 0.0521. first Interpretation & Aneweez B The proportion of human pregnancies that last less thas (240) days is 1000521 Secord interpretatios : Ansevert A. The probability that a randomly selected human pregnancy lasts less than (240 days is 1000521) & The area belünees x=290 and x = 305 is 0.0594 first Enterphelations Anserer & By the proportion of humas pregnancees that last betures [290] and [ 305 days is 10.0594) Second Enterprolattoos Anserer By The probability that a randomly selected herman pregnancy laste belureen [ 290 ) and ( 305 days is (000594)