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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman