Let x be a binomial random variable with n- 20 and p- 0.1. (a) Calculate P(x s 5) using the binomial formula. (Round your answer to five decimal places.) (b) Calculate P(x s 5) using Table 1 in Appendix 1. (Round your answer to three decimal places.) (c) Use the following Excel output given to calculate P(x s 5). (Round your answer to four decimal places.) 2 3 4 5 6. 10 P(x) 0.1216 | 0.2702 0.2852 0.1901 0.0898 0.0319 0.0089 0.0020 0.0004 0.0001 0.0000 11 12 13 14 15 16 17 18 19 20 P(x) 3E-13 BE-15 7E-07 SE-08 4E-09 2E-10 9E-12 2E-16 2E-18 1E-20 Compare the results of part (a), part (b), and part (c). O When rounded to two decimal places, the results of part (a), part (b), and part (c) agree with each other. O When rounded to two decimal places, the results of part (a), part (b), and part (c) disagree with each other.
Let x be a binomial random variable with n- 20 and p- 0.1. (a) Calculate P(x s 5) using the binomial formula. (Round your answer to five decimal places.) (b) Calculate P(x s 5) using Table 1 in Appendix 1. (Round your answer to three decimal places.) (c) Use the following Excel output given to calculate P(x s 5). (Round your answer to four decimal places.) 2 3 4 5 6. 10 P(x) 0.1216 | 0.2702 0.2852 0.1901 0.0898 0.0319 0.0089 0.0020 0.0004 0.0001 0.0000 11 12 13 14 15 16 17 18 19 20 P(x) 3E-13 BE-15 7E-07 SE-08 4E-09 2E-10 9E-12 2E-16 2E-18 1E-20 Compare the results of part (a), part (b), and part (c). O When rounded to two decimal places, the results of part (a), part (b), and part (c) agree with each other. O When rounded to two decimal places, the results of part (a), part (b), and part (c) disagree with each other.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Let \( x \) be a binomial random variable with \( n = 20 \) and \( p = 0.1 \).
**(a)** Calculate \( P(x \leq 5) \) using the binomial formula.
(Round your answer to five decimal places.)
\[ \boxed{0.86732} \]
**(b)** Calculate \( P(x \leq 5) \) using Table 1 in Appendix 1.
(Round your answer to three decimal places.)
\[ \boxed{0.867} \]
**(c)** Use the following Excel output to calculate \( P(x \leq 5) \).
(Round your answer to four decimal places.)
\[
\begin{array}{c|cccccccccc}
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline
p(x) & 0.1216 & 0.2702 & 0.2852 & 0.1901 & 0.0898 & 0.0319 & 0.0089 & 0.0020 & 0.0004 & 0.0001 & 0.0000 \\
\end{array}
\]
\[
\begin{array}{c|cccccccccc}
x & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \\
\hline
p(x) & 7\text{E-07} & 5\text{E-08} & 4\text{E-09} & 2\text{E-10} & 9\text{E-12} & 3\text{E-13} & 8\text{E-15} & 2\text{E-16} & 2\text{E-18} & 1\text{E-20} \\
\end{array}
\]
**Compare the results of part (a), part (b), and part (c):**
- When rounded to two decimal places, the results of part (a), part (b), and part (c) **agree with each other**.
- When rounded to](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ef14032-3820-4650-9b75-4754bc51e90b%2Fafb8deeb-6671-4cfd-8237-3e1247aa4987%2Fck7383_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( x \) be a binomial random variable with \( n = 20 \) and \( p = 0.1 \).
**(a)** Calculate \( P(x \leq 5) \) using the binomial formula.
(Round your answer to five decimal places.)
\[ \boxed{0.86732} \]
**(b)** Calculate \( P(x \leq 5) \) using Table 1 in Appendix 1.
(Round your answer to three decimal places.)
\[ \boxed{0.867} \]
**(c)** Use the following Excel output to calculate \( P(x \leq 5) \).
(Round your answer to four decimal places.)
\[
\begin{array}{c|cccccccccc}
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline
p(x) & 0.1216 & 0.2702 & 0.2852 & 0.1901 & 0.0898 & 0.0319 & 0.0089 & 0.0020 & 0.0004 & 0.0001 & 0.0000 \\
\end{array}
\]
\[
\begin{array}{c|cccccccccc}
x & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \\
\hline
p(x) & 7\text{E-07} & 5\text{E-08} & 4\text{E-09} & 2\text{E-10} & 9\text{E-12} & 3\text{E-13} & 8\text{E-15} & 2\text{E-16} & 2\text{E-18} & 1\text{E-20} \\
\end{array}
\]
**Compare the results of part (a), part (b), and part (c):**
- When rounded to two decimal places, the results of part (a), part (b), and part (c) **agree with each other**.
- When rounded to
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman