To find the number of people who have read the magazine for exactly two consecutive months, we analyze the given data and deduce the necessary information. We know:
Given the above, we calculate as follows:
So, the calculation shows:
Exactly two consecutive months without triple overlap:
After continuity and exclusivity, the confirmed number yielding only for two consecutive months with no overlap to other months results in 9.
The complete calculation thus gives us the answer: 9. Therefore, the number of surveyed people who read exactly two consecutive months is 9.
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: \( P(3 < x \leq 6) \)
If \(S=\{1,2,....,50\}\), two numbers \(\alpha\) and \(\beta\) are selected at random find the probability that product is divisible by 3 :