Match List – I with List – II.

Choose the correct answer from the options given below:

A-IV, B-I, C-II, D-III

The correct answer is Option (1) → A-IV, B-I, C-II, D-III

$\text{A: Mean} = np = 10 \cdot 0.25 = 2.5 \Rightarrow \text{IV}$

$\text{B: Variance} = npq = 20 \cdot 0.5 \cdot 0.5 = 5 \Rightarrow \text{I}$

$\text{C: Mean} = np = 5,\ \text{Variance} = npq = 4$

$npq = 4 \Rightarrow 5q = 4 \Rightarrow q = \frac{4}{5},\ p=\frac{1}{5}$

$n \cdot \frac{1}{5} = 5 \Rightarrow n = 25 \Rightarrow \text{II}$

$\text{D: Variance} = npq = 8 \cdot \frac{1}{2} \cdot \frac{1}{2} = 2 \Rightarrow \text{III}$

$\text{A-IV,\ B-I,\ C-II,\ D-III}$