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

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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.)
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.
Explain why x is or is not a binomial random variable.
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.
If the experiment is binomial, give the values of n and p. (If the experiment is not binomial enter NONE.)
n =
P =
Transcribed Image Text: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.) 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. Explain why x is or is not a binomial random variable. 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. If the experiment is binomial, give the values of n and p. (If the experiment is not binomial enter NONE.) n = P =
Expert Solution
Introduction

When one of the following circumstances holds true, the behavior of count variable is described by the binomial distribution:

  1. Number of observation is fixed 
  2. Each observation must independent 
  3. Each observation must represent one of two outcomes.

 

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