Find the probability distribution of the maximum of the two scores obtained when a die is thrown twice. Determine also the mean of the distribution.

Question

Philoid · Accepted Answer

Let X is the random variable score obtained when a die is thrown twice.

∴ X= 1,2,3,4,5,6

Here,

S= {(1,1), (1,2) (2,1) (2,2) (1,3) (,3) (3,1) (3,2) (3,3),. (6,6)}

Similarly,

So, the required distribution is,

Also, we know that,