Consider a standard six sided die, numbered 1 through 6 on each face. The probability of rolling each number is 1/6.
a.) Let X equal the sum of the values from two independent rolls, then E[X] is?
b.) What is the variance of one throw of the die?
c.) Using the result from question B, what is the variance of X, as defined in question A?
d.) Suppose that Y is a continuous, uniformly distributed variable over the interval [-1,1]. Then P(Y=0) equals?