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Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(x) using the normal distribution and compare the result with the exact probability. n=81, p=0.68, and x = 52 Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... 55. is, a maior can be used because ip/10. Approximate P(x) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. A. P(x)= 17.6256 (Round to four decimal places as needed.) OB. The normal distribution cannot be used to approximate the binomial distribution in this case. Help me solve this View an example Get more help. Clear all Final check O Type here to search Bi C a O 11:25 AM 25 6/18/2022 & 3 @ 2 W S X E C 4 DI R F % V 5 T G 6 B H 7 N U J 8 hp M KAA 9 K O PH P [ prt sc 90°F Sunny ^ delete backspace pause home, lock end 7 POV 2

Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(x) using the normal distribution and compare the result with the exact probability. n=81, p=0.68, and x = 52 Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... 55. is, a maior can be used because ip/10. Approximate P(x) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. A. P(x)= 17.6256 (Round to four decimal places as needed.) OB. The normal distribution cannot be used to approximate the binomial distribution in this case. Help me solve this View an example Get more help. Clear all Final check O Type here to search Bi C a O 11:25 AM 25 6/18/2022 & 3 @ 2 W S X E C 4 DI R F % V 5 T G 6 B H 7 N U J 8 hp M KAA 9 K O PH P [ prt sc 90°F Sunny ^ delete backspace pause home, lock end 7 POV 2

MATLAB: An Introduction with Applications
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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### Probability and Statistical Analysis **Topic: Using the Binomial Probability Formula and Normal Distribution** **Task:** Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(x) using the normal distribution and compare the result with the exact probability. **Given:** - \( n = 81 \) - \( p = 0.68 \) - \( x = 52 \) #### Instructions: 1. **Binomial Probability Calculation** - Compute the exact probability using the binomial probability formula. 2. **Normal Distribution Approximation** - Determine if the normal distribution can be used to estimate this probability by using the conditions: - The sample size \( n \) is sufficiently large. - Both \( np \) and \( n(1-p) \) should be greater than or equal to 5. 3. **Approximating P(x) Using the Normal Distribution** - If the normal distribution can be used, approximate P(x) using the standard normal distribution. #### Reference Links: - [Click here to view the standard normal distribution table (page 1)](your-link-here) - [Click here to view the standard normal distribution table (page 2)](your-link-here) ### Multiple-Choice Question: Select the correct choice below and fill in any answer boxes in your choice. - **A.** \[ P(x) = \boxed{17.6256} \] (*Round to four decimal places as needed.*) - **B.** The normal distribution cannot be used to approximate the binomial distribution in this case. ### Assistance Options: - **Help me solve this** - **View an example** - **Get more help** **Interface:** - **Clear all**: Clears all input fields. - **Final check**: Submits your final answer for evaluation. This task provides a comprehensive approach to understanding and solving problems involving the binomial probability formula and the normal distribution approximation. Ensure you validate the conditions for using the normal distribution to approximate the binomial distribution before proceeding.
Transcribed Image Text:### Probability and Statistical Analysis **Topic: Using the Binomial Probability Formula and Normal Distribution** **Task:** Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(x) using the normal distribution and compare the result with the exact probability. **Given:** - \( n = 81 \) - \( p = 0.68 \) - \( x = 52 \) #### Instructions: 1. **Binomial Probability Calculation** - Compute the exact probability using the binomial probability formula. 2. **Normal Distribution Approximation** - Determine if the normal distribution can be used to estimate this probability by using the conditions: - The sample size \( n \) is sufficiently large. - Both \( np \) and \( n(1-p) \) should be greater than or equal to 5. 3. **Approximating P(x) Using the Normal Distribution** - If the normal distribution can be used, approximate P(x) using the standard normal distribution. #### Reference Links: - [Click here to view the standard normal distribution table (page 1)](your-link-here) - [Click here to view the standard normal distribution table (page 2)](your-link-here) ### Multiple-Choice Question: Select the correct choice below and fill in any answer boxes in your choice. - **A.** \[ P(x) = \boxed{17.6256} \] (*Round to four decimal places as needed.*) - **B.** The normal distribution cannot be used to approximate the binomial distribution in this case. ### Assistance Options: - **Help me solve this** - **View an example** - **Get more help** **Interface:** - **Clear all**: Clears all input fields. - **Final check**: Submits your final answer for evaluation. This task provides a comprehensive approach to understanding and solving problems involving the binomial probability formula and the normal distribution approximation. Ensure you validate the conditions for using the normal distribution to approximate the binomial distribution before proceeding.
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