All GRE Subject Test: Math Resources
Example Question #1 : Uniform Distribution
X is a continuously and uniformly distributed on the interval (0,50). Find the Expected Value (E[x]) and Variance (Var(x)) of X.
Because x is a continuous uniform random variable the expected value and variance can be found with the following formulas:
X is uniform on (a,b). In this case a is 0 and b is 50. Plugging the values of a and b into the given formulas will give the answers: