{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmlu-pro","formal_name":"MMLU-Pro","introduction":"MMLU-Pro rebuilds MMLU with ten answer options instead of four and removes items that no longer separate models. Questions span fourteen academic and professional subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"b2528333-19ab-571a-b147-00d630ca6636","task_key":"default--test--11805","task_revision_id":"1","upstream_id":"11805","short_description":"A 4 kHz audio signal is transmitted using PCM technique. If the system operation…","config":"default","split":"test","body":"{\"category\":\"engineering\",\"options\":\"['12', '10', '6', '7', '5', '11', '4', '9', '13', '8']\",\"question\":\"A 4 kHz audio signal is transmitted using PCM technique. If the system operation is to be just above the thresh-old and the output signal-to-noise ratio is equal to 47 dB, find N, the number of binary digits needed to assign individual binary code designation to the M quantization level. i.e., M = 2^N. Given that S_O = output signal power = (I^2 / T_s^2) \\\\bullet (M^2S^2 / 12) N_q= quantization noise power = (I^2/T_s) \\\\bullet (S^2/12)(2f_m) N_th = thermal noise power = (I^2/T_s^2) [(P_e2^2NS^2) / (3)] whereP_e= error probabilityand (2^2N+2P_e) = 0.26(1) (Note: Signal is sampled at 2f_s wheref_sis thenyquistrate).\",\"src\":\"stemez-ElectronicCommunications\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}