A rocket is moving to the right at 1/2 the speed of light relative to the earth. A light bulb in the center of a room inside the rocket suddenly turns on. Call the light hitting the front end of the room event A and the light hitting the back of the room event B. Which event occurs first, A or B, or are they simultaneous as viewed by (a) an astronaut riding in the rocket (b) a person at rest on the earth?