- The discrete random variable \(X\) can only take the values \(1,2,3\) and 4 For these values the cumulative distribution function is defined by
$$\mathrm { F } ( x ) = k x ^ { 2 } \text { for } x = 1,2,3,4$$
where \(k\) is a constant.
- Find the value of \(k\).
- Find the probability distribution of \(X\).