diff --git a/sdk/core/core-util/src/error.ts b/sdk/core/core-util/src/error.ts
index cad9579ca294..d3da7067fc39 100644
--- a/sdk/core/core-util/src/error.ts
+++ b/sdk/core/core-util/src/error.ts
@@ -5,7 +5,7 @@ import { isObject } from "./object";
 
 /**
  * Typeguard for an error object shape (has name and message)
- * @param e Something caught by a catch clause.
+ * @param e - Something caught by a catch clause.
  */
 export function isError(e: unknown): e is Error {
   if (isObject(e)) {
@@ -19,7 +19,7 @@ export function isError(e: unknown): e is Error {
 /**
  * Given what is thought to be an error object, return the message if possible.
  * If the message is missing, returns a stringified version of the input.
- * @param e Something thrown from a try{} block
+ * @param e - Something thrown from a try block
  * @returns The error message or a string of the input
  */
 export function getErrorMessage(e: unknown): string {
@@ -33,7 +33,7 @@ export function getErrorMessage(e: unknown): string {
       } else {
         stringified = String(e);
       }
-    } catch (e) {
+    } catch (err) {
       stringified = "[unable to stringify input]";
     }
     return `Unknown error ${stringified}`;
diff --git a/sdk/core/core-util/src/random.ts b/sdk/core/core-util/src/random.ts
index 7733f250d223..3c0beeb2ff14 100644
--- a/sdk/core/core-util/src/random.ts
+++ b/sdk/core/core-util/src/random.ts
@@ -1,3 +1,6 @@
+// Copyright (c) Microsoft Corporation.
+// Licensed under the MIT license.
+
 /**
  * Returns a random integer value between a lower and upper bound,
  * inclusive of both bounds.