The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 9. Find the standard deviation for the binomial random variable X, the number of seeds germinating in each batch Round to three decimals OA. 1.375 OB. 1.296 OC. 1.281 OD. 1.358
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 9. Find the standard deviation for the binomial random variable X, the number of seeds germinating in each batch Round to three decimals OA. 1.375 OB. 1.296 OC. 1.281 OD. 1.358
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
![**Problem:**
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 9. Find the standard deviation for the binomial random variable \( X \), the number of seeds germinating in each batch. Round to three decimals.
**Options:**
- A. 1.375
- B. 1.296
- C. 1.281
- D. 1.358
**Explanation:**
To find the standard deviation for a binomial distribution, use the formula:
\[
\sigma = \sqrt{n \cdot p \cdot (1-p)}
\]
Where:
- \( n \) is the number of trials (in this case, 9 seeds).
- \( p \) is the probability of success on each trial (in this case, 0.7).
Substitute these values into the formula to find the correct standard deviation.
There are no graphs or diagrams associated with this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8da5c625-81d8-4db3-9f61-2b28dd7af5ea%2Fdfe53b24-1360-4c87-a8e7-2668c9ba8cb0%2Fbxxbfdv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 9. Find the standard deviation for the binomial random variable \( X \), the number of seeds germinating in each batch. Round to three decimals.
**Options:**
- A. 1.375
- B. 1.296
- C. 1.281
- D. 1.358
**Explanation:**
To find the standard deviation for a binomial distribution, use the formula:
\[
\sigma = \sqrt{n \cdot p \cdot (1-p)}
\]
Where:
- \( n \) is the number of trials (in this case, 9 seeds).
- \( p \) is the probability of success on each trial (in this case, 0.7).
Substitute these values into the formula to find the correct standard deviation.
There are no graphs or diagrams associated with this problem.
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 2 steps
Similar questions
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