MATH

I am having trouble with binomials. I never really grasped the concept of them when I was in high school so of course they are even harder for me to figure out now. 

Here is an example: 

Fill in the   values in the table below to give a legitimate  probability distribution  for the discrete  random variable    , whose possible values are   ,  ,  ,  , and  . 

 

show all step please and explain your answer in detail