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)
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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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. \( P(x < 100.5) \)
---
**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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