{"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":"8df73bb3-d4a9-5b67-9d55-2f80a01e9948","task_key":"default--test--8431","task_revision_id":"1","upstream_id":"8431","short_description":"5.2-13. Let $X_1, X_2$ be independent random variables representing lifetimes…","config":"default","split":"test","body":"{\"category\":\"math\",\"options\":\"['0.6532', '0.7290', '0.2984', '0.6123', '0.8441', '0.4678', '0.5117 ', '0.3815', '0.4356', '0.5789']\",\"question\":\"5.2-13. Let $X_1, X_2$ be independent random variables representing lifetimes (in hours) of two key components of a\\ndevice that fails when and only when both components fail. Say each $X_i$ has an exponential distribution with mean 1000. Let $Y_1=\\\\min \\\\left(X_1, X_2\\\\right)$ and $Y_2=\\\\max \\\\left(X_1, X_2\\\\right)$, so that the space of $Y_1, Y_2$ is $ 0< y_1 < y_2 < \\\\infty $\\n(a) Find $G\\\\left(y_1, y_2\\\\right)=P\\\\left(Y_1 \\\\leq y_1, Y_2 \\\\leq y_2\\\\right)$.\\n\",\"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":[]}