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

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !