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Suppose the lengths of human pregnancies are normally distributed with =50 and =

ID: 3040902 • Letter: S

Question

Suppose the lengths of human pregnancies are normally distributed with =50 and =16 days. Complete parts A through B below.

(a) The figure to the right represents the normal curve with =266 and =16 days. The area to the right of X=285 is 0.1175. 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 less than_ days is _.

B.The proportion of human pregnancies that last more than_days is_.

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 less than_day is_.

B. The probability that a randomly selected human pregnancy lasts more than_days is_.

(b) The figure to the right represents the normal curve with =266 and =16 days. The area between x=230 and x=285 is 0..8703. 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 less than_or more than_days is_.

B The proportion of human pregnancies that last between_and_days is_.

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 between_and_days is_.

B. The probability that a randomly selected human pregnancy lasts less than_or more than_days is_.

Explanation / Answer

a)first interpretation

A. The proportion of human pregnancies that last less than 285 days is 0.1175

2nd interpretation

B)B. The probability that a randomly selected human pregnancy lasts more than 285 days is 0.8825

b)

first interpretation

B The proportion of human pregnancies that last between 230 and 285 days is 0.8703

2nd interpretation

B. The probability that a randomly selected human pregnancy lasts less than 230 or more than 285 days is

0.1297

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