docs for smartEndpointingPlan.waitFunction

Author: rmcwhorter

fern/customization/speech-configuration.mdx

@@ -23,7 +23,16 @@ This plan defines the parameters for when the assistant begins speaking after th
 
   ![LiveKit Smart Endpointing Configuration](../static/images/advanced-tab/livekit-smart-endpointing.png)
 
-  **Example:** In insurance claims, Vapi's smart endpointing helps avoid interruptions while customers think through complex responses. For instance, when the assistant asks "do you want a loan," the system can intelligently wait for the complete response rather than interrupting after the initial "yes" or "no." For responses requiring number sequences like "What's your account number?", the system can detect natural pauses between digits without prematurely ending the customer's turn to speak.
+  **LiveKit Smart Endpointing Configuration:**
+  When using LiveKit, you can customize the `waitFunction` parameter which determines how long the bot will wait to start speaking based on the likelihood that the user has finished speaking:
+  
+  ```
+  waitFunction: "200 + 8000 * x"
+  ```
+  
+  This function maps probabilities (0-1) to milliseconds of wait time. A probability of 0 means high confidence the caller has stopped speaking, while 1 means high confidence they're still speaking. The default function (`200 + 8000 * x`) creates a wait time between 200ms (when x=0) and 8200ms (when x=1). You can customize this with your own mathematical expression, such as `4000 * (1 - cos(pi * x))` for a different response curve.
+
+  **Example:** In insurance claims, smart endpointing helps avoid interruptions while customers think through complex responses. For instance, when the assistant asks "do you want a loan," the system can intelligently wait for the complete response rather than interrupting after the initial "yes" or "no." For responses requiring number sequences like "What's your account number?", the system can detect natural pauses between digits without prematurely ending the customer's turn to speak.
 
 - **Transcription-Based Detection**: Customize how the assistant determines that the customer has stopped speaking based on what they’re saying. This offers more control over the timing. **Example:** When a customer says, "My account number is 123456789, I want to transfer $500." 
   - The system detects the number "123456789" and waits for 0.5 seconds (`WaitSeconds`) to ensure the customer isn't still speaking.