There is a lightbulb exactly halfway between the front and rear of a long hallway in your spaceship. Your ship is traveling at \(0.5 \mathrm{c}\) relative to the earth. The bulb is suddenly turned on. Let event 1 be when the light from the bulb first strikes the front end of the hall, and event 2 be when it strikes the rear end. Which event occurs first, or are they simultaneous, in the frame of

(a) the spaceship and

(b) a person standing on the earth?