A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x=28) Write the probability in words. The probability of getting Which of the following is the normal probability statement that corresponds to the binomial probability statement? OA. P(27.527.5) OD. P(x<28.5) OE. P(x>28.5) 28 successes.
A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x=28) Write the probability in words. The probability of getting Which of the following is the normal probability statement that corresponds to the binomial probability statement? OA. P(27.527.5) OD. P(x<28.5) OE. P(x>28.5) 28 successes.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Binomial Probability and Normal Distribution Conversion
A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
**Given:**
\[ P(x = 28) \]
**Steps:**
1. **Write the Probability in Words:**
- The probability of getting \( \boxed{28} \) successes.
2. **Apply Continuity Correction:**
- Which of the following is the normal probability statement that corresponds to the binomial probability statement?
**Options:**
A. \( P(27.5 < x < 28.5) \)
B. \( P(x < 27.5) \)
C. \( P(x > 27.5) \)
D. \( P(x < 28.5) \)
E. \( P(x > 28.5) \)
**Explanation and Solution:**
- The correct conversion using continuity correction is to recognize that for the binomial probability \( P(x = 28) \), we need to account for the range from 27.5 to 28.5 in the normal distribution to include 28 as an integer value.
Thus, the correct answer is:
**Option A: \( P(27.5 < x < 28.5) \)**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febc6c9e4-20c2-4aa0-9f79-b773de998cf1%2F4cb415b3-85eb-4f94-8611-9aa2f356b1b3%2F19x2t9e_processed.png&w=3840&q=75)
Transcribed Image Text:### Binomial Probability and Normal Distribution Conversion
A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
**Given:**
\[ P(x = 28) \]
**Steps:**
1. **Write the Probability in Words:**
- The probability of getting \( \boxed{28} \) successes.
2. **Apply Continuity Correction:**
- Which of the following is the normal probability statement that corresponds to the binomial probability statement?
**Options:**
A. \( P(27.5 < x < 28.5) \)
B. \( P(x < 27.5) \)
C. \( P(x > 27.5) \)
D. \( P(x < 28.5) \)
E. \( P(x > 28.5) \)
**Explanation and Solution:**
- The correct conversion using continuity correction is to recognize that for the binomial probability \( P(x = 28) \), we need to account for the range from 27.5 to 28.5 in the normal distribution to include 28 as an integer value.
Thus, the correct answer is:
**Option A: \( P(27.5 < x < 28.5) \)**
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