Tomydacat the nut width is 1.750" (44.5 mm)
Here is the full spec from Fender:
Precision Bass ® Plus
Model Number: 019-7500 and 019-7502
Series: U.S. Plus/Deluxe Series
Body: Alder, Ash on Natural
Neck: Maple
Fingerboard: Rosewood Fretboard (019-7500) and Maple Fretboard (019-7502)
Frets: 22
Scale Length: 34” (864 mm)
Width @ Nut: 1.750” (44.5 mm)
Hardware: Chrome
Machine Heads: Fender ® /Schaller ® Elite
Bridge: Fine Tuning Bridge
Pickguard: 3-Ply W/B/W
Pickups: 2 Silver Fender Lace TM Sensor pickups, (1 P Bass ® and 1 J Bass ® )
Pickup Switching: 3-Position Toggle Pickup Selector Switch,
2-Position Push/Push Series Parallel Switch
Controls: Master Volume, Master TBX Tone Control
Colors: (706) Black, (715) Lipstick Red, (721) Natural*, $100.00 Upcharge,(732) Brown Sunburst, (743) Pewter, (747) Caribbean Mist, (768) Gun Metal Blue,(773) Midnight Blue, (775) Midnight Wine, (777) Frost Red,(780) Arctic White, (788) Root Beer Metallic,(790) Blue Pearl Burst, (791) Black Pearl Burst
Strings: Dynamaxx NPS .045-.105
Other Features: Extended Upper Bout,Deep Cutaway on Lower Bout,Shaller ® Straplocks
Source: U.S.
Accessories: Standard Molded Case
U.S. MSRP: $999.99
INTRODUCED: 1989
DISCONTINUED: 1993
COMMENTS: Extended upper horn and deeper lower cutaway similar to the American Standard Jazz Bass of the time