Question

o a Suppose the lengths of human pregnancies are normally distributed with p = 266 days and 6 = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with u = 266 days and o = 16 days. The area to the right of X = 300 is 0.0168. 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.) E A. The proportion of human pregnancies that last less than days is B. The proportion of human pregnancies that last more than days is 266 300 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 more than days is B. The probability that a randomly selected human pregnancy lasts less than days is (b) The figure to the right represents the normal curve with y = 266 days and o = 16 days. The area between x = 230 and x = 300 is 0.9710. 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.) O A. The proportion of human pregnancies that last between and OB. The proportion of human pregnancies that last less than or more than days is days is 230 266 300 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 or more than days is OB. The probability that a randomly selected human pregnancy lasts between days is and

Answer 1

(a)

The first interpretation of the picture is,

B. The proportion of human pregnancies that last more than 300 days is 0.0168

The second interpretation of the picture is,

A. The probability that a randomly selected human pregnancy lasts more than 300 days is 0.0168

(b)

The first interpretation of the picture is,

A. The proportion of human pregnancies that last between 200 and 300 days is 0.9710

The second interpretation of the picture is,

B. The probability that a randomly selected human pregnancy lasts between 200 and 300 days is 0.9710

The normal curve C. corresponds to P(34 < X < 61)

P(34 < X < 61) = P(X < 61) - P(X < 34)

= P[Z < (61 - 50)/7] - P[Z < (34 - 50)/7]

= P[Z < 1.57] - P[Z < -2.29]

= 0.9418 - 0.0110

= 0.9308