Oct 17, 2019 · According to this Wikipedia entry, "Mu was derived from the Egyptian hieroglyphic symbol for water, which had been simplified by the Phoenicians and named after their word for water". So, my question is, why the early statisticians decided to use the letter Mu to denote the population mean / expected value?

Dec 27, 2014 · In terms of notation, we usually denote a population mean with $\mu$, and a sample mean with $\bar{x}$. The expected value is the population mean. See the Wikipedia article, which is quite informative. The idea here is that when you randomly select a sample, you "expect" the mean of the sample to approximate the population mean as the size of ...

Mar 18, 2011 · $\begingroup$ I was aware of Pascal using :=, but not the others.I think it is possible that the language designers of that time where influenced by maths (as has happened a number of times), but := is so far the only easily typable symbol mentioned here, so it is perfectly reasonable to assume it stems from programming languages in the first place.

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May 22, 2019 · $\begingroup$ @drhab No, the population mean $\mu$ is not a random variable, but a fixed number (a parameter). The sample mean $\bar{X}$ is a random variable (a statistic) when the sample values are considered random variables.

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Jul 17, 2015 · The difficulty is not in knowing what $\mathcal N(\mu,\sigma^2)$ means. Even $\mathcal N(3,5^2)$ is reasonably unambiguous to most peaople as meaning a normal random variable with mean $3$ and variance $5^2$ or variance $25$ (purists should believe that the standard deviation is a more fundamental parameter than the variance should free to say "standard deviation $5$" instead).

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Nov 4, 2011 · Let X be a normally distributed variable with unknown parameters μ and σ (sigma). If we know that P (X ≥ 75) = 0.7291 and P (X ≥ 83) = 0.7764. With the information given Is it possible to determin...