Correct Answer - Option 4 :

\(\dfrac{1}{2}\)
**Given**

In discrete random variable X follows uniform distribution

Assumed values of X = 5. 9, 11, 15, 18, 20

**Calculation**

I X – 14 I < 5

⇒ - 5 < X – 14 < 5

⇒ 9 < X <, 19

∴ Favourable case = {11, 15, 18} = 3

Total sample space = {8, 9, 11, 15, 18, 20} = 6

⇒ P(IX – 14I < 5) = P(9 < X < 19)

⇒ Favourable case/total sample space = 3/6

**∴ The value of P(IX – 14I < 5 is ½**