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.
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