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 day s and ? 16 days. The area to the right of X-290 is 0.0668 Provide two interpretations of this area. tion 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 B. The proportion of human pregnancies that last less th rovide The proportion of human pregnancies that last more than days is an days is a second interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your Type integers or decimals. Do not round.) A. The probability that a randomly selected human pregnancy lasts less than days is B. The probabiliy that a randomly selected human pregnancy lasts more than days is ) The figure to the right represents the normal curve with," 266 days and ovide one interpretation of the area. Select the correct choice below and il in the answer boxes to complete your choice ?-16 days The area between x-285 and x 305 is 0 11 01 Provide two interpretations of this area ype integers or decimals, Do not round. Use ascending order.) A. The proportion of human pregnancies that last less thanor more than B. The proportion of human pregnancies that last between and days is days is nterpretation of the area. Select the correct choice below and illin the answer boxes to complete your choice e integers or decimals. Do not round Use ascending order) A. The probability that a randomly selected human pregnancy lasts less than

Explanation / Answer

a) A) The proportion of human pregnancies that last more than 290 days is 668/1000 = 167/250

B) The proportion of human pregnancies that last less than 290 days is 1 - (668/1000) = 1- (167/250) = 83/250

Secon Interpretation:

A) The probability that a randomly selected human pregnancies lasts less than 290 days is 1 - 0.0668 = 0.9332

B) The probability that a randomly selected human pregnancies lasts more than 290 days is 0.0668

b)

A) The proportion of human pregnancies that last less than 285 days or more than 305 days is 1 - (1101/10000) = 8899/10000

B) The proportion of human pregnancies that last between 285 days and 305 days is 1101/10000

Second interpretation:

A) The probability that a randomly selected human pregnancies lasts less than 285 days or more than 305 days is 1 - 0.1101 = 8899

B) The probability that a randomly selected human pregnancies lasts between 285 days and 305 days is 0.1101

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