A distance was measured by pacing as 267 ft with a standard deviation of 3 ft. It was then measured as 268.94 ft with a steel tape and had a standard deviation of 0.05 ft. Finally, it was measured as 268.99 ft with an EDM. The EDM instrument and reflector setup standard deviations were 0.005 ft and 0.01 ft, respectively, and the manufacturer’s estimated standard deviation for the EDM instrument is (3 mm 3 ppm). What is the most probable value for the distance and the standard deviation of the weighted mean?