A regular six-sided die is a cube on which each side shows a different number of dots (1 to 6). The table shown below gives the probabilities of the sums of the dots on two regular six-sided dice when they are thrown. 

a. Find the mean of this distribution. 

b. Find the standard deviation of this distribution. 

c. Suppose we added one more dot on every face of both dice. What would be the mean and standard deviation of this new probability distribution? 

d. Suppose we doubled the number of dots on every face of both dice. What would be the mean and standard deviation of this new probability distribution?

Transcribed Image Text:

Sum 2 3 4 5 6 6 7 p(Sum) 1/36 2/36 3/36 4/36 5/36 6/36 7 8 9 10 11 12 5/36 4/36 3/36 2/36 1/36