Question: The probability distribution for the sum of numbers obtained from rolling a pair of dice is given in Table 9. (a) Compute the mean and

The probability distribution for the sum of numbers obtained from rolling a pair of dice is given in Table 9.
(a) Compute the mean and the variance of this probability distribution.
(b) Using the table, give the probability that the number is between 4 and 10, inclusive.
(c) Use the Chebychev inequality to estimate the probability that the number is between 4 and 10, inclusive.

Table 10 Table 9 Ones Probability Sum Probability .112 2 36 1 .269 3 .296 .197 36 4 .089 36 6. 5 .028 6. .007 36 .001 5. 36 8. .000 9. 36 9. .000 10 36 10 .000 11 11 .000 36 12 12 .000 36 4)

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