Add UMA stats for Chromoting connection details.

remoting/client/plugin/chromoting_instance.h

Index: remoting/client/plugin/chromoting_instance.h
diff --git a/remoting/client/plugin/chromoting_instance.h b/remoting/client/plugin/chromoting_instance.h
index 09c2252ecb85c30a3132aac42755735f5e5977e2..99971c92f32d04c1420f46eb1e2c37626ddfeec1 100644
--- a/remoting/client/plugin/chromoting_instance.h
+++ b/remoting/client/plugin/chromoting_instance.h
@@ -288,6 +288,13 @@ class ChromotingInstance : public ClientUserInterface,
   // Weak reference to this instance, used for global logging and task posting.
   base::WeakPtrFactory<ChromotingInstance> weak_factory_;
 
+  // Time when a connection request was started.
+  base::TimeTicks connection_started_time;
+  // Time when a connection request was authenticated.
+  base::TimeTicks connection_authenticated_time_;
+  // Time when a connection request was connected.
+  base::TimeTicks connection_connected_time_;
+
   DISALLOW_COPY_AND_ASSIGN(ChromotingInstance);
 };