Let X1,X2,X3 be a random sample of size 3 from the

Problem 1E

Let  be a random sample of size 3 from the distribution with pmf f(x) = 1/4, x = 1, 2, 3, 4. For example, observe three independent rolls of a fair four-sided die.

(a) Find the pmf of

(b) Sketch a bar graph of the pmf of Y.

                                                         Step by Step Solution

Step 1 of 3

(a)

Let  and  are independents and each of  and  can take the values.

So, the total possible arrangements of  and  is .

Since,