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In the lecture slide talking about the mean or expected value, why do we use the symbol of population mean if we are not conducting

In the lecture slide talking about the mean or expected value, why do we use the symbol of population mean if we are not conducting a census? Why not the sample mean? Explain briefly.

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1. Probability distributions 1.2 Metrics . The mean or expected value of a random variable, in a probability distribution, is the theoretical (long-run) average of the variable. . Generalized formula for mean (u) or expected value [E(X)]: U = X . P(X ) +X, . P(X, ) +X, . P(X, ) + .. . +X . P(X ,, ) n CANVAS (uf EX, . P(X, ) i=1 Why do we use, in this case, u, which is the population mean? Why or... n not the sample mean? Tell us in E(X) the Lecture 5 - Within-lecture X, . P(X;) quiz! i=1

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