Suppose an oil prospector will drill a succession of holes in a given area until he find a productive well. The number of attempts it takes to find the first productive well can be modeled as a random variable that follows a geometric distribution. Let X be the random variable that denotes number of attempts it takes to find the first productive well. Let p represent the probability that the prospector is successful on a given trail. For instance, if the fourth well drilled is the first productive well, then x1 = 4 will be the single observation for the random variable X. We observe n oil prospectors attempt this scenario, each time recording the number of attempts until they find a productive well. This scenario can be represented by X1, X2, . .., Xn be an iid random sample from a geometric distribution with f(x, p) = p(1 -p)-1 with 0