Use the correction for continuity and determine the normal probability statement that corresponds to the binomial probability statement. Binomial Probability P(x>101) *** Which of the following is the normal probability statement that corresponds to the binomial probability statement? OA. P(x>100.5) OB. P(x> 101.5) OC. P(x< 101.5) OD. P(x<100.5)

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**Transcription for Educational Website:**

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**Using Continuity Correction for Normal Approximation**

In the context of binomial probability, apply the correction for continuity and determine the normal probability statement that matches the binomial probability expression:

- Binomial Probability: \( P(x > 101) \)

**Options for Normal Probability Statement:**

A. \( P(x < 100.5) \)

B. \( P(x > 101.5) \)

C. \( P(x < 101.5) \)

D. \( P(x < 100.5) \)

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**Detailed Explanation:**

For a binomial probability \( P(x > 101) \), using the normal distribution approximation requires continuity correction. This technique adjusts the discrete binomial variable into a continuous one by adding or subtracting 0.5 from the target value, which helps provide a more accurate approximation.

Choose the appropriate option that accurately applies this correction.
Transcribed Image Text:**Transcription for Educational Website:** --- **Using Continuity Correction for Normal Approximation** In the context of binomial probability, apply the correction for continuity and determine the normal probability statement that matches the binomial probability expression: - Binomial Probability: \( P(x > 101) \) **Options for Normal Probability Statement:** A. \( P(x < 100.5) \) B. \( P(x > 101.5) \) C. \( P(x < 101.5) \) D. \( P(x < 100.5) \) --- **Detailed Explanation:** For a binomial probability \( P(x > 101) \), using the normal distribution approximation requires continuity correction. This technique adjusts the discrete binomial variable into a continuous one by adding or subtracting 0.5 from the target value, which helps provide a more accurate approximation. Choose the appropriate option that accurately applies this correction.
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