B737 DEPARTS WITH TAPE OVER FO'S PITOT TUBE; CAUSING UNRELIABLE AIRSPD AND ALT INDICATIONS. FLT CONTINUES TO DEST.

Narrative

CLIMBING OUT OF ZZZ THE FMC DUMPED ALL CLIMB AND CRUISE DATA. WE ALSO NOTED SLIGHT DIFFERENCES IN OUR AIRSPEED INDICATIONS (10 TO 15 KNOTS) AS WELL AS DIFFERENCES IN OUR ALTIMETERS (100 FT). AS WE LEVELED AT 37000 FT; THE FO'S ALTIMETER WAS AT 35000 FT AND HIS AIRSPEED INDICATED 30 TO 40 KNOTS SLOWER THAN THE CAPTAIN'S AIRSPEED. THE CAPTAIN'S PRIMARY AND STANDBY ALTIMETERS BOTH READ 37000 FT. WE CONFIRMED WITH ATC THAT WE WERE AT 37000 FT. SINCE THE DIFFERENCES IN THE ALTIMETERS AND THE AIRSPEED INDICATORS DID NOT BECOME SIGNIFICANT UNTIL WE WERE IN RVSM AIRSPACE AND WE HAD ONE RELIABLE PRIMARY AND STANDBY ALTIMETER; WE CONTINUED AT ALTITUDE TO OUR DESTINATION. ATC WAS INFORMED OF OUR SITUATION AND CONFIRMED OUR ALTITUDE. WE CONTACTED DISPATCH AND MAINT CONTROL AND INFORMED THEM OF OUR SITUATION. WE DECIDED TO CONTINUE TO OUR DESTINATION SINCE ZZZ1 WAS VMC. UPON ARRIVAL; WE DISCOVERED THAT THE LOWER PITOT TUBE ON THE CAPTAIN'S SIDE HAD BEEN TAPED OVER WITH WHAT APPEARED TO BE BLACK ELECTRICAL TAPE. THIS WAS THE FIRST FLIGHT THIS AIRCRAFT HAD SINCE IT CAME OUT OF THE HANGAR THAT MORNING. WITH IT BEING EARLY MORNING; OVERCAST; AND RAINING IT WOULD HAVE BEEN VERY DIFFICULT TO SEE THE TAPE ON THE WALK AROUND.