Probability Distributions

Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when …

A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability …

 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a …

A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of …

Unusual results are those that have a very low chance of occurring. Unusual results can be identified using probabilities and the range rule of thumb. In …

The expected value is known as the "long-term" average or mean. This means that over the long term of experimenting over and over, you would …

A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes. The …

A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of …

The uniform distribution is a continuous probability distribution of events with an equal probability of occurrence. This distribution is rectangular. Two …

The normal, a continuous distribution, is the most important of all the distributions. Its graph is a bell-shaped symmetrical curve, which is observed in …

z scores are the standardized values obtained after converting a normal distribution into a standard normal distribution. A z score is measured in units …

The normal distribution is a useful statistical tool. One of its practical applications is determining the door height after considering the normal …

Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each …

The central limit theorem, abbreviated as clt, is one of the most powerful and useful ideas in all of statistics. The central limit theorem for sample …