
What is the probability that one of the eggs selected at random was at least 20.75 mm long but less than 23.75 mm long?




To find the probability that a randomly selected egg is at least 20.75 mm long but less than 23.75 mm long, you need to sum the relative frequencies (percentages) of the intervals that fall within this range.

### Length Intervals within the Range 20.75 mm to 23.75 mm:
- 20.75–21.75 mm: 17.3%
- 21.75–22.75 mm: 37.9%
- 22.75–23.75 mm: 28.5%

### Calculating the Probability:
Add these percentages together:
\[
17.3\% + 37.9\% + 28.5\% = 83.7\%
\]

### Answer:
The probability that a randomly selected egg is at least 20.75 mm long but less than 23.75 mm long is **83.7%**.

Do you have any further questions or need additional details?

### Related Questions:
1. What is the probability of selecting an egg that is less than 20.75 mm long?
2. How would you calculate the expected length of a randomly chosen egg?
3. What is the probability of selecting an egg that is at least 23.75 mm long?
4. What is the cumulative probability up to 22.75 mm?
5. How would you interpret the skewness of this distribution?

### Tip:
For questions involving specific ranges, always identify the intervals of interest and sum their probabilities to determine the overall likelihood.

Understand how to calculate the probability that a randomly selected egg is between 20.75 mm and 23.75 mm in length. Learn the method to sum percentages of length intervals within this range. Suitable for students and professionals interested in statistical analysis and probability.

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