A6 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 does not have a binomial distribution because there are more than two possible outcomes.
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 p(success) is not constant.

Option 3 -The variable X has a binomial distribution. P(success)=0.5; number of trials = 5            

Step-by-step explanation:

Given : A 6 sided number cube is rolled five times, X is the number of times an even number is rolled.

To find : Which statement is true about this situation?

Solution :

We have seen the situation is of binomial distribution,

The binomial distribution is defined as,

with X being the number of times an even is rolled

and there are 2 possible outcomes in a given set of trials (say even and odd results on a die), the probability of success is

and there is a fixed number of trials (say like 5).

So, the binomial is

Therefore, Option 3 is correct.

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

details

step-by-step explanation:

d

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