Question: Check in each case whether the given function can serve as the probability distribution of an appropriate random variable.

1. \(f\left( x \right)=\frac{\left( \frac{2}{x} \right)}{4}\), for x = 0, 1, 2.
2. \(f\left( x \right)=\frac{x-2}{9}\), for x = 1, 2, 3, 4, 5, 6.
3. \(f\left( x \right)=\frac{{{x}^{2}}-6x+9}{10}\), for x = 1, 2, 3, 4, 5.
4. \(f\left( x \right)=\frac{{{x}^{2}}-6x+8}{5}\), for x = 1, 2, 3, 4, 5.

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