Murphy rolls two fair dice 15 times in front of his best friend. Murphy tells his friend that he can have different numbers on both the dice at least 10 times as he is familiar with concepts of the probability. Evaluate the variance of this binomial distribution. ...
More generally, a random variable for which every one of a number of equally spaced outcomes has the same probability is called a uniform random variable (in the die example, this "equal spacing" is equal to 1). We can generalize our die example to find that if XX is a uniform random...