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The probability distribution of a random...

The probability distribution of a random variable X is given below:

(i) Determine the value of k.
(ii) Determine `P(X le 2)` and `P(X gt 2)`
(ii) Find `P(X le 2) +P(X gt 2)`.

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The correct Answer is:
`(i) (8)/(15), (ii) (1)/(15), (iii) 1 `
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