Problem of Points Experiment

Description

The problem of points is a random experiment that consists of tossing coins, each with probability of heads \(p\), until either \(m\) heads occur or \(n\) tails occur. The event that \(m\) heads occur before \(n\) tails is indicated by the random variable \(I\). Random variable \(X\) denotes the number of heads and random variable \(Y\) the number of tails, so \(N = X + Y\) is the number of tosses. The variables \(X\), \(Y\), \(N\) and \(I\) are recorded in the data table, and the distributions of \(I\) and \(N\) are described in the distribution graphs and tables. The parameters \(m\), \(n\), and \(p\) can be varied with the input controls.