Explain why not a binomial random variable. wo balls are randomly selected with replacement from a jar that con xplain why x is or is not a binomial random variable. O The random variable x is a binomial random variable since the b O The random variable x is a binomial random variable since there The random variable x is not a binomial random variable since t O The random variable x is not a binomial random variable since t f the experiment is binomial, give the values of n and p. (If the expe 11 compa 11
Explain why not a binomial random variable. wo balls are randomly selected with replacement from a jar that con xplain why x is or is not a binomial random variable. O The random variable x is a binomial random variable since the b O The random variable x is a binomial random variable since there The random variable x is not a binomial random variable since t O The random variable x is not a binomial random variable since t f the experiment is binomial, give the values of n and p. (If the expe 11 compa 11
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Explanation of Binomial Random Variables:**
**Question:**
Explain why \( x \) is or is not a binomial random variable. (HINT: Compare the characteristics of this experiment with those of a binomial experiment given in this section.)
**Scenario:**
Two balls are randomly selected *with* replacement from a jar that contains seven red and three white balls. The number \( x \) of red balls is recorded.
**Options to Explain:**
- O The random variable \( x \) is a binomial random variable since the balls are selected with replacement. For this reason, the probability \( p \) of choosing a red ball does not change from trial to trial.
- O The random variable \( x \) is a binomial random variable since there is an unequal number of red and white balls in the jar. For this reason, the probability \( p \) of choosing a red ball does not change from trial to trial.
- O The random variable \( x \) is not a binomial random variable since the balls are selected with replacement. For this reason, the probability \( p \) of choosing a red ball changes from trial to trial.
- O The random variable \( x \) is not a binomial random variable since there is an unequal number of red and white balls in the jar. For this reason, the probability \( p \) of choosing a red ball changes from trial to trial.
**Further Instructions:**
If the experiment is binomial, give the values of \( n \) and \( p \). (If the experiment is not binomial, enter NONE.)
- \( n = \) [ ]
- \( p = \) [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9175f245-2e1a-4def-805b-da74e3897838%2F59901493-35c5-4ed2-aae3-1e84d66d3051%2Ff0om1oy_processed.png&w=3840&q=75)
Transcribed Image Text:**Explanation of Binomial Random Variables:**
**Question:**
Explain why \( x \) is or is not a binomial random variable. (HINT: Compare the characteristics of this experiment with those of a binomial experiment given in this section.)
**Scenario:**
Two balls are randomly selected *with* replacement from a jar that contains seven red and three white balls. The number \( x \) of red balls is recorded.
**Options to Explain:**
- O The random variable \( x \) is a binomial random variable since the balls are selected with replacement. For this reason, the probability \( p \) of choosing a red ball does not change from trial to trial.
- O The random variable \( x \) is a binomial random variable since there is an unequal number of red and white balls in the jar. For this reason, the probability \( p \) of choosing a red ball does not change from trial to trial.
- O The random variable \( x \) is not a binomial random variable since the balls are selected with replacement. For this reason, the probability \( p \) of choosing a red ball changes from trial to trial.
- O The random variable \( x \) is not a binomial random variable since there is an unequal number of red and white balls in the jar. For this reason, the probability \( p \) of choosing a red ball changes from trial to trial.
**Further Instructions:**
If the experiment is binomial, give the values of \( n \) and \( p \). (If the experiment is not binomial, enter NONE.)
- \( n = \) [ ]
- \( p = \) [ ]
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Introduction
When one of the following circumstances holds true, the behavior of a count variable X is described by the binomial distribution:
- Number of observation is fixed
- Each observation must independent
- Each observation must represent one of two outcomes.
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