Problem of Points Experiment

Coin 1 Coin 2 Coin 3 Coin 4 Coin 5 Coin 6 Coin 7 Coin 8 Coin 9 Coin 10 Coin 11 Coin 12 Coin 13 Coin 14 Coin 15 Coin 16 Coin 17 Coin 18 Coin 19 Coin 20 Coin 21 Coin 22 Coin 23 Coin 24 Coin 25 Coin 26 Coin 27 Coin 28 Coin 29 Coin 30 Coin 31 Coin 32 Coin 33 Coin 34 Coin 35 Coin 36 Coin 37 Coin 38 Coin 39 Coin 40 Coin 41 Coin 42 Coin 43 Coin 44 Coin 45 Coin 46 Coin 47 Coin 48 Coin 49 Coin 50 Coin 51 Coin 52 Coin 53 Coin 54 Coin 55 Coin 56 Coin 57 Coin 58 Coin 59 Coin 60
Distribution graph

Description

The problem of points experiment is a random experiment that consists of tossing coins, each with probability of heads \(p\), until either \(n\) heads occur or \(m\) tails occur. The event that \(n\) heads occur before \(m\) tails is indicated by the random variable \(I\). On each update, the results of the coin tosses are shown in the coin box. On each update, the number of heads, the number of tails, and the value of \(I\) are displayed in the record table. The probability density function of \(I\) is shown in blue in the distribution graph and is recorded in the distribution table. On each update, the empirical probability density function of \(I\) is shown in red in the distribution graph and is recorded in the distribution table. The parameters \(n\), \(m\), and \(p\) can be varied with the input controls.