A geometric random variable X is a discrete variable taking values in {1, 2,...} with the parameter p which models the probability of getting the first success on the nth trial. This variable has density function fx(x) = p(1 – p)ª-1. Find the moment generating function of X and | use it to find the mean and variance of X.

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…