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The normal, or Gaussian, distribution has a density function that is a symmetrical bell-shaped curve. It is one of the most important distributions in statistics. Use the [normality-assumption] tag for asking about testing for normality.
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Normal Distribution Curve
As you said, visually inspecting is really subjective, but in your example, the histogram indicates two modes and the part with the most theoretical probability density (near 0) has too few points, so …
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In a bivariate normal sample, why is the squared sample correlation Beta distributed?
If $(X_i,Y_i), i = 1, \dots, n$ are independently bivariate normal distributed, with mean $(\mu_x , \mu_y)$ and variances $(\sigma_x^2, \sigma^2_y)$ and correlation coefficient $\rho = 0$.
Denote $T …