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#### Related Questions VIEW ALL [4]

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} |
2 |
7k^{2} + k |

Determine

**(i)** *k*

**(ii)** P (X < 3)

**(iii)** P (X > 6)

**(iv)** P (0 < X < 3)