The final book he published was Evaluation of the probability integral to high precision which was a report for the Department of the Navy, David Taylor Model Basin. Murnaghan's own summary of its contents is as follows:
Ang huling libro ay nai-publish siya Pagsusuri ng mga bagay na maaaring mahalaga sa mataas na katiyakan kung saan ay isang ulat para sa Department of the Navy, David Taylor Model pampagmumog. Murnaghan sariling buod ng mga nilalaman nito ay ang mga sumusunod: