To find the values of \( p \) and \( q \), let's clarify what they represent in the context of the given cumulative distribution function (CDF) \( F(x) \). Usually, in probability and statistics problems involving a CDF, \( p \) and \( q \) might refer to specific values of \( F(x) \) at given points, or they could represent some form of calculation derived from the CDF.

### Step-by-Step Analysis

Given the piecewise function:

\[
F(x) = 
\begin{cases} 
0 & \text{if } x < 0 \\
\frac{1024}{3125} & \text{if } 0 \leq x < 1 \\
\frac{2304}{3125} & \text{if } 1 \leq x < 2 \\
\frac{2944}{3125} & \text{if } 2 \leq x < 3 \\
\frac{3104}{3125} & \text{if } 3 \leq x < 4 \\
\frac{3124}{3125} & \text{if } 4 \leq x < 5 \\
1 & \text{if } x \geq 5 
\end{cases}
\]

#### Possible Interpretations of \( p \) and \( q \)

1. **If \( p \) and \( q \) refer to specific values of \( x \):**
   - \( p \) could be a point where \( F(x) = p \).
   - \( q \) could be another point where \( F(x) = q \).

2. **If \( p \) and \( q \) refer to specific probabilities:**
   - For example, \( p = F(2) = \frac{2944}{3125} \).
   - \( q = F(3) = \frac{3104}{3125} \).

Please clarify what \( p \) and \( q \) specifically refer to so I can provide the exact values or further calculations.

Explore the values of p and q in a Cumulative Distribution Function (CDF) with step-by-step analysis. Learn how p and q are derived from the given piecewise function, including practical interpretations and calculations. Ideal for advanced high school students and anyone studying probability and statistics.

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