Question
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the band's next 14 shows would you expect to have an encore? shows
Ask by Lynch Harris. in the United States
Feb 03,2025
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Answer
You can expect the band to play an encore in 7 out of their next 14 shows.
Solution
To estimate how many of the band's next 14 shows are likely to feature an encore, we can use the information from their previous performances.
**Given:**
- The band played an encore in 2 out of their last 4 shows.
**Step 1: Calculate the Probability of an Encore**
- Probability of an encore in any given show = Number of encores / Total shows = 2/4 = 0.5 (or 50%)
**Step 2: Apply the Probability to Future Shows**
- Expected number of encores in the next 14 shows = Probability of encore × Number of future shows
- Expected encores = 0.5 × 14 = 7
**Conclusion:**
Based on the past performance data, you can expect the band to play an encore in **7 out of their next 14 shows**.
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Simplify this solution Extra Insights
Based on the band's recent history, we can calculate the expected number of encore performances in their next 14 shows. Since the band played an encore at 2 out of their last 4 shows, that gives us a ratio of 0.5 (2 encores / 4 shows). Applying this ratio to the next 14 performances, we can expect around 7 encores (0.5 * 14 = 7). So, keep those clapping hands ready and expect to be treated to an encore in about half of their upcoming shows! It’s party time! 🎉
