Instrument "Remove this person" in user manager.

chrome/browser/ui/webui/options/manage_profile_handler.cc

Index: chrome/browser/ui/webui/options/manage_profile_handler.cc
diff --git a/chrome/browser/ui/webui/options/manage_profile_handler.cc b/chrome/browser/ui/webui/options/manage_profile_handler.cc
index c3424c9d8bf65b6ecff7bf4b0314d6ae0245bc00..691ddb4855a7c37d6291c3f44c6be20e8a352640 100644
--- a/chrome/browser/ui/webui/options/manage_profile_handler.cc
+++ b/chrome/browser/ui/webui/options/manage_profile_handler.cc
@@ -64,6 +64,11 @@ bool GetProfilePathFromArgs(const base::ListValue* args,
   return base::GetValueAsFilePath(*file_path_value, profile_file_path);
 }
 
+void HandleLogDeleteUserDialogShown(const base::ListValue* args) {
+  ProfileMetrics::LogProfileDeleteUser(
+      ProfileMetrics::DELETE_PROFILE_SETTINGS_SHOW_WARNING);
+}
+
 }  // namespace
 
 ManageProfileHandler::ManageProfileHandler()
@@ -185,6 +190,8 @@ void ManageProfileHandler::RegisterMessages() {
       "showDisconnectManagedProfileDialog",
       base::Bind(&ManageProfileHandler::ShowDisconnectManagedProfileDialog,
                  base::Unretained(this)));
+  web_ui()->RegisterMessageCallback("logDeleteUserDialogShown",
+      base::Bind(&HandleLogDeleteUserDialogShown));
 }
 
 void ManageProfileHandler::Uninitialize() {