{"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":"97d86297-fc48-5f9d-a38d-f8c1d85b1118","task_key":"default--test--8326","task_revision_id":"1","upstream_id":"8326","short_description":"5.3-3. Let $X_1$ and $X_2$ be independent random variables with probability…","config":"default","split":"test","body":"{\"category\":\"math\",\"options\":\"['$\\\\\\\\frac{15}{125}$', '$\\\\\\\\frac{36}{125}$\\\\n', '$\\\\\\\\frac{32}{125}$', '$\\\\\\\\frac{24}{125}$', '$\\\\\\\\frac{18}{125}$', '$\\\\\\\\frac{45}{125}$', '$\\\\\\\\frac{48}{125}$', '$\\\\\\\\frac{30}{125}$', '$\\\\\\\\frac{42}{125}$', '$\\\\\\\\frac{40}{125}$']\",\"question\":\"5.3-3. Let $X_1$ and $X_2$ be independent random variables with probability density functions $f_1\\\\left(x_1\\\\right)=2 x_1, 0 < x_1 <1 $, and $f_2 \\\\left(x_2\\\\right) = 4x_2^3$ , $0 < x_2 < 1 $, respectively. Compute\\n(a) $P \\\\left(0.5 < X_1 < 1\\\\right.$ and $\\\\left.0.4 < X_2 < 0.8\\\\right)$.\",\"src\":\"scibench-stat\"}","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":[]}