Saved Bookmarks
| 1. |
A survey show that 60% people watch news channel A whereas 76% people watch news channel B. If x% of people watch both news channels then prove that 39 ≤ x ≤ 63. |
|
Answer» Let A be the set of percentage of those people who watch a news Channel and B be the set of percentage of those people who watch another channel. Given, n(A) = 63, n(B) = 96 and n(A ∩ B) = x ∴ n(A ∪ B) ≤ 100 n(A) + n(B) − n(A ∩ B) ≤ 100 63 + 76 – x ≤ 100 139 – x ≤ 100 39 ≤ x ∴ n(A ∩ B) ≤ n(A) x ≤ 63 ∴ 39 ≤ x ≤ 63 |
|