The probability of winning a certain lottery is 1/51,949. For people who play 560 times, find the standard deviation for the random variable X, the number of wins. 0.1223 0.1038 0.0108 0.1137 2.4569
The probability of winning a certain lottery is 1/51,949. For people who play 560 times, find the standard deviation for the random variable X, the number of wins. 0.1223 0.1038 0.0108 0.1137 2.4569
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
10.
![**Probability and Statistics: Calculating Standard Deviation in a Lottery Scenario**
The probability of winning a certain lottery is \( \frac{1}{51,949} \). For individuals who play 560 times, the task is to find the standard deviation for the random variable \( X \), representing the number of wins.
Choices:
- \( 0.1223 \)
- \( 0.1038 \)
- \( 0.0108 \)
- \( 0.1137 \)
- \( 2.4569 \)
In this scenario, use the formula for the standard deviation of a binomial distribution, where the standard deviation \( \sigma \) is given by:
\[
\sigma = \sqrt{n \cdot p \cdot (1-p)}
\]
- \( n = 560 \) (number of trials)
- \( p = \frac{1}{51,949} \) (probability of success on each trial)
Calculate \( \sigma \) using the given values to find the correct answer from the choices above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5247ce5-a3e5-4e1f-ba29-c615e03ea9bd%2F4f20f8a3-9411-4cff-83cc-8808c10d735b%2Flvnci99_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability and Statistics: Calculating Standard Deviation in a Lottery Scenario**
The probability of winning a certain lottery is \( \frac{1}{51,949} \). For individuals who play 560 times, the task is to find the standard deviation for the random variable \( X \), representing the number of wins.
Choices:
- \( 0.1223 \)
- \( 0.1038 \)
- \( 0.0108 \)
- \( 0.1137 \)
- \( 2.4569 \)
In this scenario, use the formula for the standard deviation of a binomial distribution, where the standard deviation \( \sigma \) is given by:
\[
\sigma = \sqrt{n \cdot p \cdot (1-p)}
\]
- \( n = 560 \) (number of trials)
- \( p = \frac{1}{51,949} \) (probability of success on each trial)
Calculate \( \sigma \) using the given values to find the correct answer from the choices above.
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
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