The lengths of human pregnancies are normally distributed with mu = 266 days and

Question

The lengths of human pregnancies are normally distributed with mu = 266 days and alpha = 16 days. Complete parts (a) and (b) below. (a) The following figure represents the normal curve with mu = 266 days and sigma = 16 days. The area to the left of X = 230 is 0.0122. Provide an interpretation of this area. Choose ire coned answer below. A. The proportion of human pregnancies that last more than 230 days is 0.0122. B. The proportion of human pregnancies that last less than 230 days is 0.9878. C. The proportion of human pregnancies that last less than 266 days is 0.4878. D. The proportion of human pregnancies that last less than 230 days is 0.0122. Provide a second interpretation of the area. Choose the correct answer below. A. The probability that a randomly selected human pregnancy lasts less than 230 days is 0.4878. B. The probability that a randomly selected human pregnancy lasts more than 230 days is 0.0122. C. The probability that a randomly selected human pregnan

Explanation / Answer

a.) The area to the left of X=230 is 0.0122. An interpretation of this area is -

(D) The proportion of human pregnancies that last less than 230 days is 0.0122

A second interpretation of the area to the left of X=230 is -

(D) The probability that a randomly selected human pregnancy lasts less than 230 days is 0.0122

b.) The area between X=235 and X=295 is 0.9387. An interpretation of this area is -

(C) The proportion of human pregnancies that last between 235 and 295 days is 0.9387

A second interpretation of this area is -

(C) The probability that a randomly selected human pregnancy lasts between 235 and 295 days is 0.9387

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