Statistical Distributions

Different types of distributions.

Bernoulli distribution: A Bernoulli distribution is a discrete probability distribution with two possible outcomes, usually called "success" and "failure." The probability of success is denoted by p and the probability of failure is denoted by q. The Bernoulli distribution can be used to model a variety of events, such as whether a coin toss results in heads or tails, whether a student passes an exam, or whether a customer makes a purchase.

Uniform distribution: A uniform distribution is a continuous probability distribution that assigns equal probability to all values within a specified range. The uniform distribution can be used to model a variety of events, such as the roll of a die, the draw of a card from a deck, or the time it takes to complete a task.

Binomial distribution: A binomial distribution is a discrete probability distribution that describes the number of successes in a sequence of n independent trials, each of which has a probability of success of p. The binomial distribution can be used to model a variety of events, such as the number of heads in 10 coin tosses, the number of customers who make a purchase in a day, or the number of students who pass an exam.

Normal distribution: A normal distribution is a continuous probability distribution that is bell-shaped and symmetric. The normal distribution is often called the "bell curve" because of its shape. The normal distribution can be used to model a variety of events, such as the height of people, the weight of babies, or the IQ scores of adults.

Poisson distribution: A Poisson distribution is a discrete probability distribution that describes the number of events that occur in a fixed interval of time or space if the average number of events is known. The Poisson distribution can be used to model a variety of events, such as the number of customers who arrive at a store in an hour, the number of phone calls that come into a call center in a day, or the number of defects in a manufactured product.

Exponential distribution: An exponential distribution is a continuous probability distribution that describes the time it takes for an event to occur. The exponential distribution can be used to model a variety of events, such as the time it takes for a customer to make a purchase, the time it takes for a machine to break down, or the time it takes for a radioactive atom to decay.