Suppose the lengths of human pregnancies are normally distributed with = 266 day

Question

Suppose the lengths of human pregnancies are normally distributed with = 266 days and = 16 days. Complete parts (a) and (b) below (a) The figure to the right represents the normal curve with = 266 days and = 16 days. The area to the left of X-235 is 0.0263 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.) O A. The proportion of human pregnancies that last more than 235 days is 0.0263 O B. The proportion of human pregnancies that last less than 235 days is 0.0263 235 266 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.) O A. The probability that a randomly selected human pregnancy lasts less than days is O 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 days and = 16 days. The area between x-235 and x-300 is 0.9569. 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.) O A. The proportion of human pregnancies that last between 235 and 300 days is 0.9569 O B. The proportion of human pregnancies that lastss than or 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 235 268 300 (Type integers or decimals. Do not round. Use ascending order.) O A. The probability that a randomly selected human pregnancy lasts between O B. The probability that a randomly selected human pregnancy lasts less than and days is or more than days is

Explanation / Answer

Given :-

mu = 266 and sigma = 16

a) The area to the left of X = 235 is 0.0263

Second interpretation:-

Answer :- option "A" is correct.

The probability that randomly selected human pregnancy lasts less than 235 days is 0.0263

b) The area between X = 235 and X= 300 is 0.9569

Answer :- option "A" is correct.

The probability that randomly selected human pregnancy lasts between 235 and 300 days is 0.9569.

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