某君一周工作五天,若每天准时下班的概率为二分一,问一周中超时工作的机率? 关于不定时工作制中的工作时间问题

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1\uff0e\u4f01\u4e1a\u5b9e\u884c\u7efc\u5408\u8ba1\u7b97\u5de5\u65f6\u5de5\u4f5c\u5236\u4ee5\u53ca\u5728\u5b9e\u884c\u7efc\u5408\u8ba1\u7b97\u5de5\u65f6\u5de5\u4f5c\u4e2d\u91c7\u53d6\u4f55\u79cd\u5de5\u4f5c\u65b9\u5f0f\uff0c\u4e00\u5b9a\u8981\u4e0e\u5de5\u4f1a\u548c\u52b3\u52a8\u8005\u534f\u5546\u3002
2\uff0e\u5bf9\u4e8e\u7b2c\u4e09\u7ea7\u4ee5\u4e0a\uff08\u542b\u7b2c\u4e09\u7ea7\uff09\u4f53\u529b\u52b3\u52a8\u5f3a\u5ea6\u7684\u5de5\u4f5c\u5c97\u4f4d\uff0c\u52b3\u52a8\u8005\u6bcf\u65e5\u8fde\u7eed\u5de5\u4f5c\u65f6\u95f4\u4e0d\u5f97\u8d85\u8fc711\u5c0f\u65f6\uff0c\u800c\u4e14\u6bcf\u5468\u81f3\u5c11\u4f11\u606f\u4e00\u5929\u3002

准时下班的概率为二分一,那就是说不准时下班的概率也为1/2,而不准时下班又分早退和加班(超时),在没有其他条件的情况,可以视作早退和加班概率相等,所以加班(超时)工作的几率为1/4=25%。

但凡有一天没有准时下班即为超时工作,咱可以先计算一周没有超时工作的几率,即(1/2)^5=1/32,因此超时工作的几率就是 1 - 1/32 = 31/32

一周中超时工作的机率为50%。

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