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Probability Essay

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What are the two basic laws of probability? What are the differences between a discrete probability distribution and a continuous probability distribution? Provide at least one example of each type of probability distribution.
The two basic laws of probability are adding mutually exclusive events and addition for events that are not mutually exclusive (Render, Stair & Hanna, 2008). The probability must be between zero and one for any event just as the sum must equal one of all the events. Therefore, according to Render, Stair& Hanna (2008), zero would represent an event that is never expected to occur while one represents an event that is always expected to occur.

Probability distributions are represented by two types, discrete and continuous which is dependent upon probability association in regards to the random variables (Render, Stair & Hanna, 2008). The random variable is discrete only if it can assume finite or limited set of values. Probability values are assigned to each event in a discrete random variable which is between zero and one and must add up to one. The probability distribution is often described by its mean and variance. The continuous variable has to have an infinite or an unlimited set of values. Continuous probability distribution is a continuous mathematical function that describes the probability distribution which can be graphed to reflect the area under the curve as the probability as it is associated with the range of interest (Render, Stair & Hanna, 2008). Also, continuous probability distribution is expressed in a formula or equation not in tabular form as opposed to discrete probability distribution.

An example of discrete probability distribution is rolling two dice with both having six sides and the interest number would be a sum of nine. This experiment would encompass 36 simple events as there would be six rolls of

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