Question

A experiment consists of rolling two 6-sided dice and observing the sum of the upper faces.

1.) determine the random variable, X.

2.) What values can X take on?

3.) how many possible outcomes are there for this experiment ?

D.) Create a probability distribution for X.

Answer 1

Solution:-) The outcomes of rolling two sided die will be

n(s) =  

	(1, 1)	(1, 2)	(1, 3)	(1, 4)	(1, 5)	(1, 6)
	(2, 1)	(2, 2)	(2, 3)	(2, 4)	(2, 5)	(2, 6)
	(3, 1)	(3, 2)	(3, 3)	(3, 4)	(3, 5)	(3, 6)
	(4, 1)	(4, 2)	(4, 3)	(4, 4)	(4, 5)	(4, 6)
	(5, 1)	(5, 2)	(5, 3)	(5, 4)	(5, 5)	(5, 6)
	(6, 1)	(6, 2)	(6, 3)	(6, 4)	(6, 5)	(6, 6)

a) X denotes the sum of upper faces

b) X can take minimum value as 2 and maximum value 12

X= {2,3,4,5,6,7,8,9,10,11,12}

c) Possible outcomes , you can see from above is n(s) =36

d) Probability Distribution of x

X	P(X)
2	1/36
3	2/36
4	3/36
5	4/36
6	5/36
7	6/36
8	5/36
9	4/36
10	3/36
11	2/36

12

1/36