Questions: Suppose the lengths of human pregnancies are normally distributed with μ=266 days and σ=16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the right of X=280 is 0.1908. 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.) A. The proportion of human pregnancies that last more than 280 days is 0.1908 B. The proportion of human pregnancies that last less than days is 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 less than days is B. The probability that a randomly selected human pregnancy lasts more than days is

Suppose the lengths of human pregnancies are normally distributed with μ=266 days and σ=16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the right of X=280 is 0.1908. 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.) A. The proportion of human pregnancies that last more than 280 days is 0.1908 B. The proportion of human pregnancies that last less than days is 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 less than days is B. The probability that a randomly selected human pregnancy lasts more than days is
Transcript text: Part 2 of 4 Points: 0 of 1 Save Suppose the lengths of human pregnancies are normally distributed with $\mu=266$ days and $\sigma=16$ days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with $\mu=266$ days and $\sigma=16$ days. The area to the right of $\mathrm{X}=280$ is 0.1908 . 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. (Typeintegers or decimals.) A. The proportion of human pregnancies that last more than 280 days is 0.1908 B. The proportion of human pregnancies that last less than $\square$ days is $\square$ 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 less than $\square$ days is $\square$ B. The probability that a randomly selected humampregnancy lasts more than $\square$ days is $\square$
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Solution

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Solution Steps

Step 1: Identify the given values
  • Mean (μ) = 266 days
  • Standard deviation (σ) = 16 days
  • The area to the right of X = 280 days is 0.1908
Step 2: Interpret the first part of the question
  • The first part asks for the interpretation of the area to the right of X = 280 days.
Step 3: Provide the first interpretation
  • The proportion of human pregnancies that last more than 280 days is 0.1908.
Step 4: Interpret the second part of the question
  • The second part asks for another interpretation of the same area.
Step 5: Provide the second interpretation
  • The probability that a randomly selected human pregnancy lasts more than 280 days is 0.1908.

Final Answer

  1. The proportion of human pregnancies that last more than 280 days is 0.1908.
  2. The probability that a randomly selected human pregnancy lasts more than 280 days is 0.1908.
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