Homework Help is Here – Start Your Trial Now!
Math
Statistics
A bin contains 5 red and 5 green balls. 2 balls are chosen at random, without replacement. Let the random variable X be the number of green balls chosen. a. Explain why X is not a binomial random variable. trails are not independent. n=2 p=5/10 b. Fill in the table to describe the probability distribution for the variable X. Round your answers to the nearest hundredth but don't round your answer until the end, otherwise the rounding errors will propegate. X Probability 0 1.

A bin contains 5 red and 5 green balls. 2 balls are chosen at random, without replacement. Let the random variable X be the number of green balls chosen. a. Explain why X is not a binomial random variable. trails are not independent. n=2 p=5/10 b. Fill in the table to describe the probability distribution for the variable X. Round your answers to the nearest hundredth but don't round your answer until the end, otherwise the rounding errors will propegate. X Probability 0 1.

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
See similar textbooks
icon
Related questions
Question
100%
Please explain this?
**Understanding Probability Distribution** A bin contains 5 red and 5 green balls. 2 balls are chosen at random, without replacement. Let the random variable X be the number of green balls chosen. ### Why X is Not a Binomial Random Variable a. **Explanation:** - Trials are not independent. - \( n = 2 \) - \( p = \frac{5}{10} \) ### Creating a Probability Distribution Table b. **Probability Distribution:** - Fill in the table to describe the probability distribution for the variable X. Round your answers to the nearest hundredth but don't round your answer until the end, otherwise, the rounding errors will propagate. **Table:** | X | Probability | |---|-------------| | 0 | | | 1 | | | 2 | | **Instructions:** 1. Determine the probabilities for selecting 0, 1, or 2 green balls. 2. Ensure rounding is done only after calculating the final probabilities to avoid errors. This table will help you understand the likelihood of each possible outcome when 2 balls are drawn from the bin under the given conditions.
Transcribed Image Text:**Understanding Probability Distribution** A bin contains 5 red and 5 green balls. 2 balls are chosen at random, without replacement. Let the random variable X be the number of green balls chosen. ### Why X is Not a Binomial Random Variable a. **Explanation:** - Trials are not independent. - \( n = 2 \) - \( p = \frac{5}{10} \) ### Creating a Probability Distribution Table b. **Probability Distribution:** - Fill in the table to describe the probability distribution for the variable X. Round your answers to the nearest hundredth but don't round your answer until the end, otherwise, the rounding errors will propagate. **Table:** | X | Probability | |---|-------------| | 0 | | | 1 | | | 2 | | **Instructions:** 1. Determine the probabilities for selecting 0, 1, or 2 green balls. 2. Ensure rounding is done only after calculating the final probabilities to avoid errors. This table will help you understand the likelihood of each possible outcome when 2 balls are drawn from the bin under the given conditions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS