What is the geometrical meaning of expecttation in probability?
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Mathematical Expectation
Mathematical expectation, also known as the expected value, is the summation or integration of a possible values from a random variable. It is also known as the product of the probability of an event occurring, denoted P(x), and the value corresponding with the actual observed occurrence of the event. The expected value is a useful property of any random variable. Usually notated as E(X), the expect value can be computed by the summation overall the distinct values that the random variable can take. The mathematical expectation will be given by the mathematical formula as, E(X)= Σ (x1p1, x2p2, …, xnpn), where x is a random variable with the probability function, f(x), p is the probability of the occurrence, and n is the number of all possible values In the case
The mathematical expectation of an indicator variable can be zero if there is no occurrence of an event A, and the mathematical expectation of an indicator variable can be one if there is an occurrence of an event A. Thus, it is a useful tool to find the probability of event A.
Mathematical expectation, also known as the expected value, is the summation or integration of a possible values from a random variable. It is also known as the product of the probability of an event occurring, denoted P(x), and the value corresponding with the actual observed occurrence of the event. The expected value is a useful property of any random variable. Usually notated as E(X), the expect value can be computed by the summation overall the distinct values that the random variable can take. The mathematical expectation will be given by the mathematical formula as, E(X)= Σ (x1p1, x2p2, …, xnpn), where x is a random variable with the probability function, f(x), p is the probability of the occurrence, and n is the number of all possible values In the case
The mathematical expectation of an indicator variable can be zero if there is no occurrence of an event A, and the mathematical expectation of an indicator variable can be one if there is an occurrence of an event A. Thus, it is a useful tool to find the probability of event A.
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