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Interior Ministry spokesman Sediq Sediqi said she fired only one shot that struck the American in the chest. He died either on the way or just upon arrival at a hospital, the spokesman added, describing her act as a ‘‘huge crime.’’ He said the woman attempted to run away, pistol still in hand, after the shooting. But she was subdued by police.

She was taken into Afghan custody and Sediqi said she refused to answer questions after hours of interrogation aimed at determining her motives.

Nargas had worked with a human rights department of the police for two years and had earlier been a refugee in Pakistan and Iran, Kabul Deputy Police Chief Mohammad Daoud Amin said.

She could enter the compound armed because as a police officer, she was licensed to carry a pistol, Amin said. He said he did not know whether the killer and victim were acquainted.

‘‘Her background is very clean. We don’t see that she had any connection with armed insurgent groups,’’ Sediqi said. He added that she aroused no suspicion because she frequently went back and forth on business between the compound and the Interior Ministry where she worked.

Canadian Brig. Gen. John C. Madower, another NATO command spokesman in Kabul, called the incident ‘‘a very sad occasion’’ and said his ‘‘prayers are with the loved ones of the deceased.’’

The killing came just hours after an Afghan policeman shot five of his colleagues at a checkpoint in northern Afghanistan late Monday. The attacker then stole his colleague’s weapons and fled to join the Taliban, said deputy provincial governor in Jawzjan province, Faqir Mohammad Jawzjani.

Separately, U.S. military officials were investigating the apparent suicide of a Navy SEAL commander in Afghanistan. A U.S. military official in Washington said Cmdr. Job W. Price, 42, of Pottstown, Pa., died Saturday of a noncombat-related injury in Uruzgan province. The official said the death ‘‘appears to be the result of a suicide.’’

The official spoke on condition of anonymity because the death is still being investigated.

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Associated Press reporters Rahim Faiez and Amir Shah in Kabul contributed to this report.