In a factory quality assurance test is conducted on various samples for a specific characteristic value of the product. The values and the number of samples are as given in the following table
| Characteristic value, X |
No. of Samples |
| 10 |
3 |
| 11 |
7 |
| 12 |
10 |
| 13 |
15 |
| 14 |
28 |
| 15 |
33 |
| 16 |
24 |
| 17 |
11 |
| 18 |
10 |
| 19 |
6 |
| 20 |
3 |
Consider the following statements based on the table:
1. The probability that X ≤ 15 is 0.64
2. The probability that 13 < X ≤ 17 is greater than 0.64
3. The probability that X = 15 is less than 0.22
Which of the above statements is/are not true?
(a) 1 alone (b) 1 and 2 (c) 2 and 3 ( d) 1, 2 and 3
