Suppose we have some data:

x = 0, 1, 2, 3,

and the coressponding frequences:

frequency= 23, 90, 135, 52

and we want to see if the data fits a Bin(3,0.5) distribution.

My initial thoughts of how to do this was to use a goodness of fit test using chi-squared tables.

However the question asks for this to be done using only the CDF of the Bin(3,0.5) distribution.

Any ideas where to begin with this?