Question

Use your knowledge of dice to generate a theoretical probability distribution of the possible sums obtained when rolling two dice. The first two rows have been completed for you.

Sum of dice (X)

# of ways of obtaining sum

Relative Frequency of (X) =

2

1 way (1+1)

1/36

3

2 ways (1+2, 2+1)

2/36

4

5

6

7

8

9

10

11

12

2) (1 points) Use the theoretical data to calculate the mean, variance, and standard deviation of the theoretical probability distribution.

3) (1 point) Find the theoretical probability of rolling a sum less than 4.

4) (1 point) Find the theoretical probability of rolling a sum between (and including) 3 and 7.

Answer 1