Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used probability. estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact n= 54, p=0.7, and X= 32 For n= 54, p= 0.7, and X= 32, use the binomial probability formula to find P(X).
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used probability. estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact n= 54, p=0.7, and X= 32 For n= 54, p= 0.7, and X= 32, use the binomial probability formula to find P(X).
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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Title: Computing Binomial Probability
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**Objective:**
- Compute P(X) using the binomial probability formula.
- Determine if the normal distribution can be used to estimate this probability.
- If applicable, approximate P(X) using the normal distribution and compare the result with the exact probability.
**Given Parameters:**
- \( n = 54 \)
- \( p = 0.7 \)
- \( X = 32 \)
**Instructions:**
For \( n = 54 \), \( p = 0.7 \), and \( X = 32 \), use the binomial probability formula to find P(X).
- **Note:** Round to four decimal places as needed.
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Additional guidance: Ensure you understand the conditions under which the normal approximation applies, typically when both \( np \) and \( n(1-p) \) are greater than 5.
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