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.

adore.nuk
Feb 14, 2018

#1**+2 **

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

qualitystreet
Feb 14, 2018

#2**+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

lynx7
Feb 14, 2018