As you might imagine drawing Pascals Triangle every time you have to expand a binomial would be a rather long process especially if the binomial has a large exponent on it. We start by plugging in the binomial PMF into the general formula for the mean of a discrete probability distribution. Find the column that represents your probability value p or the closest one.
The criteria of the binomial distribution need to satisfy these three conditions.
To find say 6 C 4 you go down to the row where there is a 6 after the initial 1 and then go over to the 5th not the 4th entry to find that 6 C 4 15. All in all if we now multiply the numbers weve obtained well find that there are. If you prefer you can type in this command directly instead of navigating through menus. We start by plugging in the binomial PMF into the general formula for the mean of a discrete probability distribution.