Is this lense compatible with my nikon d5200?

Will it autofocus?

http://www.amazon.com/Nikon-70-300mm-4-5-6G-Nikkor-Camera/dp/B00005Y3OM/ref=sr_1_3?ie=UTF8&qid=1360375623&sr=8-3&keywords=nikon+300mm
>>> Is this lense compatible with my nikon d5200?