Q8. Find the mean, median and mode of the random variable $X$ with probability density function $f_X(x) = \frac{1}{\sqrt{2\pi}}e^{-\frac{(x-1)^2}{2}}, \quad -\infty < x < \infty$.
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Step 1: The given probability density function is a normal distribution with mean $\mu = 1$ and variance $\sigma^2 = 1$. Show more…
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