In large glass or plastic bowl, mix all ingredients except oil. Cover and refrigerate at least 30 minutes but no longer than 4 hours.
Heat oven to 400°F. Spray 13x9-inch pan with cooking spray. Arrange shrimp in single layer in pan.
Bake uncovered 7 to 8 minutes or until shrimp are pink and firm. Drizzle with oil. Serve hot.