Instrument some of the exit paths likely to suffer hangs.

chrome/browser/background/background_mode_manager.cc

Index: chrome/browser/background/background_mode_manager.cc
diff --git a/chrome/browser/background/background_mode_manager.cc b/chrome/browser/background/background_mode_manager.cc
index b95f598ce8ff0232f1bab13416711b47e5772e2a..1e3f2d1b00e8d2697f372ff3ead520c74bd1394b 100644
--- a/chrome/browser/background/background_mode_manager.cc
+++ b/chrome/browser/background/background_mode_manager.cc
@@ -53,6 +53,10 @@
 #include "ui/base/l10n/l10n_util.h"
 #include "ui/base/resource/resource_bundle.h"
 
+#if defined(OS_WIN)
+#include "components/browser_watcher/exit_funnel_win.h"
+#endif
+
 using base::UserMetricsAction;
 using extensions::Extension;
 using extensions::UpdatedExtensionPermissionsInfo;
@@ -532,6 +536,10 @@ void BackgroundModeManager::ExecuteCommand(int command_id, int event_flags) {
       }
       break;
     case IDC_EXIT:
+#if defined(OS_WIN)
+      browser_watcher::ExitFunnel::RecordSingleEvent(
+            chrome::kBrowserExitCodesRegistryPath, L"TraybarExit");
+#endif
       content::RecordAction(UserMetricsAction("Exit"));
       chrome::CloseAllBrowsers();
       break;
@@ -638,6 +646,11 @@ void BackgroundModeManager::UpdateKeepAliveAndTrayIcon() {
     if (!keeping_alive_) {
       keeping_alive_ = true;
       chrome::IncrementKeepAliveCount();
+
+#if defined(OS_WIN)
+      browser_watcher::ExitFunnel::RecordSingleEvent(
+            chrome::kBrowserExitCodesRegistryPath, L"BackgroundOn");
+#endif
     }
     CreateStatusTrayIcon();
     return;
@@ -647,6 +660,11 @@ void BackgroundModeManager::UpdateKeepAliveAndTrayIcon() {
   if (keeping_alive_) {
     keeping_alive_ = false;
     chrome::DecrementKeepAliveCount();
+
+#if defined(OS_WIN)
+    browser_watcher::ExitFunnel::RecordSingleEvent(
+          chrome::kBrowserExitCodesRegistryPath, L"BackgroundOff");
+#endif
   }
 }