Opening the paper…
The density of is for and otherwise. Find the value of (3 decimal places).
The density of $X$ is $f(x)=c\,x$ for $0\le x\le 2$ and $0$ otherwise. Find the value of $c$ (3 decimal places). The density of $X$ is $f(x)=c\,x^2$ for $0\le x\le 3$ and $0$ otherwise. Find the value of $c$ (3 decimal places). The density of $X$ is $f(x)=c\,(2x+1)$ for $0\le x\le 1$ and $0$ otherwise. Find the value of $c$ (3 decimal places).