Questions: Interpret the given values to determine the probability of a human pregnancy lasting more than a specified number of days: 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 more than 0.9737 days is 235 . B. The probability that a randomly selected human pregnancy lasts less than days is .

Interpret the given values to determine the probability of a human pregnancy lasting more than a specified number of days: 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 more than 0.9737 days is 235 . B. The probability that a randomly selected human pregnancy lasts less than days is .
Transcript text: Interpret the given values to determine the probability of a human pregnancy lasting more than a specified number of days: 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 more than 0.9737 days is 235 . B. The probability that a randomly selected human pregnancy lasts less than $\square$ days is $\square$ .
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Solution

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Solution Steps

Step 1: Calculate Probability of Lasting More Than 0.9737 Days

To determine the probability that a randomly selected human pregnancy lasts more than \(0.9737\) days, we calculate:

\[ P(X > 0.9737) = \Phi(Z_{end}) - \Phi(Z_{start}) = \Phi(\infty) - \Phi(-27.9026) = 1.0 \]

Thus, the probability that a pregnancy lasts more than \(0.9737\) days is \(1.0\).

Step 2: Calculate Probability of Lasting Less Than 280 Days

Next, we calculate the probability that a randomly selected human pregnancy lasts less than \(280\) days:

\[ P(X < 280) = \Phi(Z_{end}) - \Phi(Z_{start}) = \Phi(0.0) - \Phi(-\infty) = 0.5 \]

Therefore, the probability that a pregnancy lasts less than \(280\) days is \(0.5\).

Final Answer

Based on the calculations:

  • The probability that a randomly selected human pregnancy lasts more than \(0.9737\) days is \(1.0\).
  • The probability that a randomly selected human pregnancy lasts less than \(280\) days is \(0.5\).

The correct interpretation is option B.

\(\boxed{\text{B}}\)

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