A slotted ALOHA network transmits 200-bit frames using a shared channel with a…

Solution:

• Frame time (slot duration): T = 200 bits / 200000 bits/s = 0.001 s (1 ms).

• Offered load per slot: G = arrival rate * T = 250 frames/s * 0.001 s = 0.25.

• Slotted ALOHA normalized throughput (successful frames per slot): S_slot = G * e^{-G}.

• Successful frames per second: S = S_slot * (1/T) = 0.25 * e^{-0.25} * 1000 ≈ 194.7 frames/s.

• Throughput in bits per second: 194.7 frames/s * 200 bits = 38,940 bps ≈ 38.94 kbps.

• Conclusion: The slotted ALOHA throughput for the given parameters is approximately 194.7 frames/s (≈38.94 kbps). None of the provided answer choices exactly matches this result; note that ≈151.6 frames/s would correspond to pure ALOHA for these parameters, not slotted ALOHA.