By definition, we will see that y is a binomial variable.
Here the variable "y" represents:
y = "number of kings drawn"
When we draw 7 cards out of a 52 cards deck.
So there are 5 possible values of y:
- y = 0
- y = 1
- y = 2
- y = 3
- y = 4
A binomial variable is a variable that represents two outcomes, for example, if we used the variable x = "drawing a king" 7 times, then x is a binomial variable, because it has two outcomes, or you draw a king, or you don't.
A binomial variable can also represent the number of outcomes of each type for several events like x (the one defined above). This is what y does, it counts how many times the outcome of "x" is "drawing a king" for a sequence of 7 draws.
Then y is a binomial variable.
If you want to learn more about binomial distributions, you can read:
https://brainly.com/question/7283210
