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A pure ALOHA network transmits 200-bit frames on a shared channel of 200 kbps. What is the throughput if the system (all stations together) produces 1000 frames per second?

Please solve by mentioning step by step procedure!

Throughput of pure aloha ,S=G × $e^{-2G}$. Where G is the average no. Of frames generated by system during one frame transmission time.

Transmission time =$\frac{frame size} {bandwidth}$=$\frac{200 bits}{200kbps}$=1 ms.

If system create 1000 frames per second  means  1 frame  per millisecond ,so G=1

S=$G×e^{-2G}$=0.135 that means throughput is 1000×.135=135 frames.only 135 frame out of 1000 will survive.