Being from Buffalo, I can tell you that is NOT normal for Erie, PA. They do get lake effect snow, but very rarely in those amounts. Usually the winds fetch from the West to WNW and hit the Buffalo southtowns and counties south of Buffalo (Chautauqua, Cattaraugus, Allegheny). They'll get feet at a time, but the winds rarely stay from the same direction for days at a time, so you get the narrow snow bands that wobble north and south.
When the winds come from the WSW, you get a full fetch of the lake, and the snow band hits the Buffalo metro area and area's east (where I live)... That's when the piling really happens. 4-6' isn't uncommon (yes, feet), in a single snow event. It packs down, you snowblow, life goes on...
The real snow country is E of Lake Ontario, known as the Tug Hill Plateau (gateway to the Adirondacks). Those guys regularly get over 200" of snow annually, and it's not a bad year until they hit 300"... Redfield, NY had about 30 FEET of snowfall last year...