How to find the mean/variance of the binomial distribution?

The binomial distribution describes the probability when a certain trial with only two possible outcomes is repeated ‘n’ number of times. For example, suppose that a coin is tossed 10 times and we define X=number...

T Distribution/Students T distribution

The T distribution is a distribution that is used to model the probability distribution of the sample mean drawn from a normal population when the sample size is small (less than 30). It looks...

Sampling Distribution

If we draw many independent random samples from a given population and use each sample to calculate quantities like the mean, standard deviation, etc. then we get different values for these quantities depending on...

Normal Approximation to Binomial Distribution

The normal approximation means that you can use the normal distribution as an approximation to calculate the probabilities for binomial distribution. Note that this can be done under the following conditions: The number of trials...

Uniform Distribution

The uniform distribution refers to a probability distribution in which all events have equal chances of occurring. The continuous uniform distribution consists of two parameters – ‘a’ which denotes the minimum value the random...

Logistic Distribution

It is a continuous probability distribution which is symmetric about the origin, that is, it has skewness 0. The shape of the distribution is quite similar to that of the normal distribution except for...

Weibull Distribution

It is a continuous probability distribution named after Waloddi Weibull, a Swedish physicist, who used it to represent the distribution of the breaking strength of materials. It is one of the most widely used distributions...

Pareto Distribution

The Pareto Distribution is a continuous probability distribution used to describe many empirical observations. It was originally used by the Italian economist Vilfredo Pareto who used it to model the distribution of wealth in...