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A random variable X has the following probability distribution:

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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 k2 2k2 7k2+k

Determine: (i) K (ii) P (X < 3) (iii) P (X > 6) (iv) P (0 < X < 3)

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But k can never be negative as the probability is never negative.

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