Pairs of random numbers (x,y) are generated where the variables X and Y are integers between 0 to 5 inclusive. (i) How many different pairs are possible?
The answer is 15.
There are 6 possible integers from 0 to 5, so the n becomes 6. from these two we are supposed to make pair of 2 numbers do r becomes 2. By theory of permutation and combination, total number of ways in which we can draw combination of 2 integers from set of 6 integers is
ii. distribution of
and for each of these values there are
To be explicit:
An examination of the table above should make the distribution of
or you could redo the table to be explicit: