If a random variable X has a discrete distribution for which the p.f. is f(x), then the value of x for which f(x) is maximum is called the mode of the distribution. If this same maximum f(x) is attained at more than one value of x, then all such values of x are called modes of the distribution. Find the mode or modes of the binomial distribution with parameters n and p. Study the ratio f (x + 1|n, p)/f (x|n, p).