A random variable X has the following probability
function.
X : 0 1 2 3 4 5 6 7
P(X) : 0 k 2k 2k 3k k2 2k2 7k2 + k
(a) Find k.
(b) Evaluate
P(X 6) , P(X 6)
and
P(0 X 5) .
(c) Determine the distribution function of X
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