# Image Gallery

 Historical Timeline The probabilities for birthday coincidences The probabilities for catching tagged fish Tabulation of Bernoulli waiting times Another way to tabulate and graph Bernoulli waiting times Grouping R commands Tabulation of waiting times in the Bernoulli process The negative binomial distribution for various biases The negative binomial distribution for a fair coin but different number of heads A binomial distribution Random walk for a specific Bernoulli sample point Playing card scores The distribution of a biased random walk A function for computing the most likely location for a biased random walk The birthday coincidence waiting time distribution The Banach matchbox probabilities Distribution of a uniform random variable Density function of a uniform random variable Graph symbols available in R The distribution of the first order statistic (i.e., the minimum) The density of the first order statistic Distribution of a typical integer random variable Comparison of X(1) and log(X(1)), graph is on page 112 Trapezoidal region for computing the distribution function of the spread The distribution of the smallest piece of broken DNA molecule Variance of a Bernoulli trial as a function of the bias Standard deviation of a Bernoulli trial Standard normal density function Standard normal distribution function Inverse of the standard normal distribution function Comparison of a Binomial density with the corresponding normal density Comparison of S(16) with N(8,4) Various normal distributions with mean 0 Randomly generated tennis ball hits Randomly generation using the Cauchy distribution function Normal model of significance for a manufacturing process Various exponential distributions Various exponential densities Conditional density of a renewal time Probability distribution of the time until failure Probability density of the time until failure An example of a reliability comparison using densities of the time until failure Some reliability distributions Some reliability densities Entropy of a Bernoulli trial Comparison of linear and logarithmic functions The reflection principle for the arcsine law: Diagram #1 The reflection principle for the arcsine law: Diagram #2 The reflection principle for the arcsine law: Diagram #3 Typical random walk for the event C[n,a,x]-C[n,a+1,x] of the reflection principle The reflection principle for the arcsine law: Diagram #4 Wiener process © 2008 Kenneth Baclawski.