A random, variable X has the following p...

A random, variable `X` has the following probability distribution: `X :\ \ 0\ 1\ 2\ \ 3\ \ 4\ 5\ \ 6\ 7` `P(X):0\ \ k\ 2k\ \ 2k\ 3k\ \ k^2\ \ 2k^2\ \ 7k^2+k` Find each of the following: i. `k` ii. `P(X<6)` iii. `P(Xgeq6)` iv. `P(0< X < 5)`

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