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A six-sided number cube is rolled five times, X is the number of times an even number is rolled.

Which statement is true about this situation?

 

  • The variable X has a binomial distribution. P(success)=0.5; number of trials = 5
  • The variable X does not have a binomial distribution because  P(success) is not constant.
  • The variable X has a binomial distribution. P(success)=0.2; number of trials = 5
  • The variable X does not have a binomial distribution because there are more than two possible outcomes.
 Feb 14, 2018
 #1
avatar+429 
+2

The variable X has a binomial distribution. P(success)=0.5; number of trials = 5 true

 

smileysmileysmiley

 Feb 14, 2018
 #2
avatar+557 
+2

A binomial distribution for a random variable X is one in which there are only two possible outcomes, success and failure, for a finite number of trials.

We define success as “rolling an even” and failure as “not rolling an even.” In this case, each roll of the die would be a trial.

P(success of getting an even)=3/6*=1/2

The variable X has a binomial distribution. P(success)=0.5; number of trials = 5

 

 

winkwinkwink

 Feb 14, 2018

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