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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)=0.2; number of trials = 5

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 there are more than two possible outcomes.

The variable X does not have a binomial distribution because P(success) is not constant.

Respuesta :

The correct answer is that the variable does have a binomial distribution; P(success)=0.5; the number of trials is 5.

This is binomial because it has a fixed number of trials, the trials are independent of each other, the probability of success is constant from trial to trial, and there are only 2 outcomes.  

Since success is getting an even number, and there are 3 even numbers out of 6, P(success)=3/6=0.5.

There are 5 trials because you are rolling the cube 5 times.

Answer: No bro I got it wrong; The real answer is

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

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