A random variable $X$ takes integer values between $1$ and $4$ inclusive where $\mathrm{P}\left( X=x

Question

A random variable $X$ takes integer values between $1$ and $4$ inclusive where $\mathrm{P}\left( X=x \right)=a{{x}^{3}}+0.01$ for $x=1,\mathrm{ }2,\mathrm{ }3,\mathrm{ }4$. Find $\mathrm{E}\left( X \right)$ and $\mathrm{Var}\left( X \right)$.

Accepted Answer

$a = 6/625; E(X) = 3.50; Var(X) = 0.541$

Worked Example 2

Worked Example 2

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