Question

Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on their smartphones. For this to be a binomial experiment, what assumption needs to be made?

The probability of being a gamer that plays video games on their smartphones is the same for all gamers

The probability of being a gamer and is selected is the same for all gamers

The probability of being selected is the same for all ten gamers

All ten selected gamers are the same age

Answer 1

The binomial distribution describes the behavior of a count variable X if the following conditions apply:

1: The number of observations n is fixed.

2: Each observation is independent.

3: Each observation represents one of two outcomes ("success" or "failure").

4: The probability of "success" p is the same for each outcome.

Now here success is playing video games on smartphones

Hence here answer is

The probability of being a gamer that plays video games on their smartphones is the same for all gamers