<p>A random variable $X$ takes integer values between $2$ and $5$ inclusive where $\text{P}\left( X=x \right)=ax+b$ for $x=2,\text{ }3,\text{ }4,\text{ }5$. Given that $\text{E}\left( X \right)=3.85$, find the values of $a$, $b$ and $\text{Var}\left( X \right)$.</p>

A random variable $X$ takes integer values between $2$ and $5$ inclusive where $\text{P}\left( X=x \right)=ax+b$ for $x=2,\text{ }3,\text{ }4,\text{ }5$. Given that $\text{E}\left( X \right)=3.85$, find the values of $a$, $b$ and $\text{Var}\left( X \right)$.

Discrete Random Variables (DRV)

H2 Math

International Baccalaureate Higher Level Mathematics

Discrete Random Variables (DRV)

Question 424dd873