(a)[1]
Express $k$ in terms of $a$ alone.
(b)[4]
Given that $\mathrm{Var}(X) = 3$, find the value of $a$.
Mathematics 9709 · AS & A Level · Continuous random variables
Continuous random variables — practice question
The figure depicts the probability density function, $f(x)$, for a random variable $X$. On the interval $0 \leq x \leq a$, $f(x) = k$; at all other values, $f(x) = 0$.