The 21-year-old woman who was shot is a University of Washington student and a sorority member. The Police Department says her shooting might be connected to a robbery about four blocks away.

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Police are investigating after a 21-year-old woman was shot in the chest in the University District just after midnight Wednesday.

The woman is a University of Washington student and a sorority member, said Lindsay Wright, the assistant director of fraternity and sorority life at the UW, which was first reported by the university’s newspaper, The Daily.

After reports of shots being fired in the 5200 block of 19th Avenue Northeast, officers arrived to find a woman lying on the ground, according to the Seattle Police Department’s blotter.

Seattle Fire Department medics took her to Harborview Medical Center, where she was in stable but serious condition Wednesday, said Detective Patrick Michaud, a police spokesman.

Officers found 9-mm shell casings nearby, according to the police blotter. The shooting might be connected to a robbery about four blocks away, police said.

Police are investigating a connection because of the time of the robbery and its proximity to the location to the shooting, and because the victims in both cases gave a similar description of three suspects, Michaud said.

The robbery victim at the scene did not fully cooperate with police, Michaud said.