A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow. Lengths of Cuckoo Bird Eggs Length (in millimeters) Percent of eggs 18.75-19.75 0.8 19.75-20.75 4.0 20.75-21.75 17.3 21.75-22.75 37.9 22.75-23.75 28.5 23.75-24.75 10.7 24.75-25.75 0.8 (a) What percent of the group of eggs was less than 22.75 mm long? 60 (b) What is the probability that one of the eggs selected at random was at least 19.75 mm long but less than 22.75 mm long? 0.944

Advanced Engineering Mathematics
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A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow.

**Lengths of Cuckoo Bird Eggs**

| Length (in millimeters) | Percent of eggs |
|--------------------------|------------------|
| 18.75–19.75             | 0.8%             |
| 19.75–20.75             | 4.0%             |
| 20.75–21.75             | 17.3%            |
| 21.75–22.75             | 37.9%            |
| 22.75–23.75             | 28.5%            |
| 23.75–24.75             | 10.7%            |
| 24.75–25.75             | 0.8%             |

**Questions:**

(a) What percent of the group of eggs was less than 22.75 mm long?

- Answer: 60%

(b) What is the probability that one of the eggs selected at random was at least 19.75 mm long but less than 22.75 mm long?

- Submitted Answer: 0.944
- Result: Incorrect

In the table, egg lengths are categorized into intervals. Each interval's frequency is given as a percentage of the total egg count. This allows interpretation of egg distribution within specific length ranges.
Transcribed Image Text:A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow. **Lengths of Cuckoo Bird Eggs** | Length (in millimeters) | Percent of eggs | |--------------------------|------------------| | 18.75–19.75 | 0.8% | | 19.75–20.75 | 4.0% | | 20.75–21.75 | 17.3% | | 21.75–22.75 | 37.9% | | 22.75–23.75 | 28.5% | | 23.75–24.75 | 10.7% | | 24.75–25.75 | 0.8% | **Questions:** (a) What percent of the group of eggs was less than 22.75 mm long? - Answer: 60% (b) What is the probability that one of the eggs selected at random was at least 19.75 mm long but less than 22.75 mm long? - Submitted Answer: 0.944 - Result: Incorrect In the table, egg lengths are categorized into intervals. Each interval's frequency is given as a percentage of the total egg count. This allows interpretation of egg distribution within specific length ranges.
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