To find \( P(2.8 < X < 5) \), you would need more information about the distribution of \( X \). Here are the possible scenarios:

1. **If \( X \) follows a normal distribution:**  
   If \( X \sim N(\mu, \sigma^2) \), you would need the mean \( \mu \) and standard deviation \( \sigma \) to calculate the probability. You would use the z-score formula:
   \[
   z = \frac{X - \mu}{\sigma}
   \]
   Then, you would find the corresponding probability using the standard normal table or a calculator.

2. **If \( X \) follows a uniform distribution between 2.8 and 5:**  
   In this case, \( P(2.8 < X < 5) = 1 \) because \( X \) lies entirely within this interval.

3. **If \( X \) follows any other distribution:**  
   You'd need the specific distribution details or a probability density function (PDF) to calculate \( P(2.8 < X < 5) \).

Could you provide more details about the distribution of \( X \)? This will help in finding the exact probability.

Would you like additional guidance on probability with different distributions?

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### Related Questions
1. How can I calculate probabilities for a normal distribution?
2. What is a z-score, and how is it used in probability calculations?
3. How do probabilities work in a uniform distribution?
4. What are some common types of probability distributions?
5. How do I interpret cumulative probability values?

**Tip:** When working with probabilities, always confirm the type of distribution first, as the approach changes significantly.

Explore how to calculate the probability p(2.8 < X < 5) based on different probability distributions. Learn methods for both normal and uniform distributions, including using the z-score formula for a normal distribution and calculating probabilities directly for a uniform distribution.

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