| List I (Method) | List II (Characteristic) | ||
|---|---|---|---|
| (A) | Mean | (I) | Identify what is most common |
| (B) | Median | (II) | Based on sound mathematics |
| (C) | Mode | (III) | Square-root of the variance |
| (D) | Standard deviation | (IV) | Divides into 2 equal parts |
If \(S=\{1,2,....,50\}\), two numbers \(\alpha\) and \(\beta\) are selected at random find the probability that product is divisible by 3 :
If the probability distribution is given by:
| X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| P(x) | 0 | k | 2k | 2k | 3k | k² | 2k² | 7k² + k |
Then find: \( P(3 < x \leq 6) \)
Match List-I with List-II 
Choose the correct answer from the options given below: