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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 probabili n=40, p=0.3, and X= 15 PX) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? OA. Yes, the normal distribution can be used because np(1-p) < 10. O B. No, the normal distribution cannot be used because np(1-p)< 10. OC. Yes, the normal distribution can be used because np(1-p)2 10. O D. No, the normal distribution cannot be used because np(1-p)2 10. Approximate POX) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. OA POX)= (Round to four decimal places as needed.) O B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice. OA. (Round to four decimal places as needed.) O B. There is no solution.

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 probabili n=40, p=0.3, and X= 15 PX) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? OA. Yes, the normal distribution can be used because np(1-p) < 10. O B. No, the normal distribution cannot be used because np(1-p)< 10. OC. Yes, the normal distribution can be used because np(1-p)2 10. O D. No, the normal distribution cannot be used because np(1-p)2 10. Approximate POX) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. OA POX)= (Round to four decimal places as needed.) O B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice. OA. (Round to four decimal places as needed.) O B. There is no solution.

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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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. Parameters: - n = 40 - p = 0.3 - X = 15 \[ P(X) = \] (Round to four decimal places as needed.) **Can the normal distribution be used to approximate this probability?** - A. Yes, the normal distribution can be used because \( np(1-p) \geq 10 \). - B. No, the normal distribution cannot be used because \( np(1-p) < 10 \). - C. Yes, the normal distribution can be used because \( np(1-p) \geq 10 \). - D. No, the normal distribution cannot be used because \( np(1-p) < 10 \). **Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice.** - A. \[ P(X) = \] (Round to four decimal places as needed.) - B. There is no solution. **By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice.** - A. \[ \] (Round to four decimal places as needed.) - B. There is no solution. **Note:** The image does not contain any graphs or diagrams. The content involves statistical computations and decision-making about using normal distribution approximations.
Transcribed Image Text: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. Parameters: - n = 40 - p = 0.3 - X = 15 \[ P(X) = \] (Round to four decimal places as needed.) **Can the normal distribution be used to approximate this probability?** - A. Yes, the normal distribution can be used because \( np(1-p) \geq 10 \). - B. No, the normal distribution cannot be used because \( np(1-p) < 10 \). - C. Yes, the normal distribution can be used because \( np(1-p) \geq 10 \). - D. No, the normal distribution cannot be used because \( np(1-p) < 10 \). **Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice.** - A. \[ P(X) = \] (Round to four decimal places as needed.) - B. There is no solution. **By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice.** - A. \[ \] (Round to four decimal places as needed.) - B. There is no solution. **Note:** The image does not contain any graphs or diagrams. The content involves statistical computations and decision-making about using normal distribution approximations.
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