The commonly used discrete distributions in statistics are the following:
- Geometric distribution
- Binomial distribution
- Multinomial distribution
- Hypergeometric distribution
- Poisson distribution
- Negative binomial distribution
Probability Distribution: Continuous vs Discrete
The probability distributions are either a continuous probability distribution or discrete probability distributions depending on whether the distributions define probabilities linked with continuous or discrete. When variables take any value between the two values, then it is a continuous variable or else a discrete variable. The differences are explained in our Discrete Distributions assignment writing help.
- A continuous distribution defines the probabilities of the values of a constant random variable. Continuous random variables are random variables that have possible values, which are uncountable and infinite.
- A discrete distribution states the probability of the happening of every value of a discrete random variable. The discrete distribution variable is the random variable, which has countable values including the list of non-negative integers. In a discrete probability distribution, every possible value od a discrete random variable must be linked with non-zero probability. A discrete distribution is presented in a tabular form.
For example
If a fire department makes a mandate that the firefighters should weigh between 150-250 pounds, then the weight of firefighters is an example of a continuous variable because his weight can take any value that ranges between 150-250 pounds.
If a coin is flipped and the number of heads is counted. the number of heads can be an integer whose value is between 0-plus infinity. It can be any number between 0 – plus infinity. The number of heads is a discrete value.
With the help of a discrete distribution, you can find out the probability that X is exactly equal to a value. This is not possible in Continuous distribution. You can use Poisson distribution for describing the customer complaints in a day.
Applications of Discrete Distribution
The applications are highlighted in our help for assignment on Discrete Distributions. It is highly valuable in inventory management. When the frequency of inventory that is sold in combination with finite inventory is studied, it can give businesses a probability distribution, which can result in proper allocation of inventory for using the best application.
Discrete Distributions are helpful in Monte Carlo simulation. It is a modeling technique, which identifies the probabilities of various outcomes via programmed technology. It can identify risks and forecast scenarios. The outcomes with a discrete value shall give discrete distribution. The distribution is used to determine trade-offs and risk among various items.