Do you suspect wasp in your home. “here are some 400 species of wasps in North America. However, paper wasps, yellow jacket wasps, bald-faced hornets, and cicada-killer wasps are the most common throughout the NJ NY PA area. Most wasps have two pairs of wings. Female wasps also have stingers. This feature is only present in the female wasp because it derives from the female sex organ (the ovipositor). Wasps have a slender body with a narrow waist, slender, cylindrical legs, and appear smoothed-skinned and shiny.