Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function $f(x)=\lambda(x-1)(2-x) \quad \text { for } 1 \leq x \leq 2 = 0$ otherwise
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function $f(x)=\lambda(x-1)(2-x) \quad \text { for } 1 \leq x \leq 2 = 0$ otherwise