• 2022-06-19
    设随机变量 [tex=0.643x1.0]jDVSpgNhHe+VJmgvx3gg1Q==[/tex] 服从參数为 [tex=1.929x1.0]xXDCmWq47DQFjvGpa+qhxA==[/tex] 的指数分布,定义随机变量 [tex=1.214x1.214]saHhquVaAJ/mHfO0s1ML8g==[/tex] 如下:[tex=13.429x2.929]n7MYqQ4KxjX4tqxTB2ivvjxOkvhNhVwws+vaSG56sdG4HhMY/N4CTY/gTM6QZ6sW+px8rOtehZPUzU4GFbXqUfOkQPvtBx93zMQaMcWZhKII9GLgA3u24qxkjuEXG/jRtlDK7a9xYfU3acRrUuQ/hg==[/tex]求 [tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex] 和 [tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex] 的联合分布列.
  • 解:因 [tex=0.643x1.0]jDVSpgNhHe+VJmgvx3gg1Q==[/tex] 的密度函数为[tex=10.143x2.929]zFS7OXl1uHBdqCXNx9tZU9a7DOsKT5+aQBvn3YEKU7ViMq/BbUqy4JZhyGfXHn2JavR9sU6ju0cAsSUrbn5KD5+FxS0+kttSBbV5sG7tfE9qRbkoNBePo28px1otbvcQ[/tex][br][/br]且 [tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex] 和 [tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex] 的全部可能取值为 0,1,则 [tex=31.143x2.786]N3BXMRvB50cMacE1NFaXfZSxipDQoSfcjoYS/4trvXfGrNajYgkSpfLArCqAXwEozXQ3OF2TLynde3oPhF7QICnQmkBR4BdHixcmUUXhZ4FkeUmDjdeWVGQjgp3SDNh/1HgqF+r1zApC+TA47qe8ZiGpV/pVqa8tiLIqrOQvQMlN5nYmT/sA9iTmqpKHr27p[/tex] ,[tex=35.714x7.357]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[/tex]故 [tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex] 和 [tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex]的联合分布列为[img=264x121]1790e86729feb6c.png[/img]

    举一反三

    内容

    • 0

      假设随机变量 [tex=0.643x1.0]jDVSpgNhHe+VJmgvx3gg1Q==[/tex] 服从参数为 [tex=2.429x1.0]xXDCmWq47DQFjvGpa+qhxA==[/tex] 的指数分布,随机变量[tex=14.286x2.929]n7MYqQ4KxjX4tqxTB2ivvjxOkvhNhVwws+vaSG56sdF4V6cAYNCApxCmf/S3ELfEY3bW820fb1PeVcRV6qb//kXDJpPD3xRSkbWdbMegAZjo+PHrF6I2fcEb2/nRrexjx1UKr65iEwzcrHw+6aCrQ2zX2hcRTUubW7fw8/UEVyc=[/tex]求 ( 1 ) [tex=2.857x1.214]O2aWWT46d1LX+noNMJEVGg==[/tex] 的联合分布,(2) [tex=5.286x1.357]Ia54YVkBUQaB+kZatxWuTZ1ZKsXNMBkCFbRiV+9lt/Y=[/tex]

    • 1

      设随机变量 [tex=0.857x1.0]KGogyvwDAIJf/iL0H/9wjg==[/tex] 与 [tex=0.643x1.0]jDVSpgNhHe+VJmgvx3gg1Q==[/tex] 相互独立,且服从参数为 1 的指数分布. 记 [tex=13.5x1.357]ZrmgIX329+lIMwj+0JP7oX4KmceUiv4NOTdLGvSfjGFY26aIR9qNFK9EJaP3gu/x[/tex] 求[tex=3.857x1.357]t0PsS3YAPSnhTBV9LUFwGQ==[/tex]

    • 2

      随机变量X服从参数为[tex=0.643x1.0]7dwHQGHL24uGORI8NryViw==[/tex]的泊松分布,且已知[tex=8.571x1.357]gWyoTuxxsfaBqL4MAoQPzg==[/tex],则[tex=0.643x1.0]7dwHQGHL24uGORI8NryViw==[/tex]=[input=type:blank,size:4][/input].

    • 3

      设配对设计资料的变量值为 [tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex] 与[tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex] , 则配对资料的秩和检验 (       ). 未知类型:{'options': ['把 [tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex] 与[tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex] 的差数绝对值从小到大编秩', '把\xa0[tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex]\xa0与[tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex]\xa0 综合从小到大编秩[br][/br]', '把\xa0[tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex]\xa0与[tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex]\xa0综合按绝对值从小到大编秩[br][/br]', '把\xa0[tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex]\xa0与[tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex]\xa0 的差数从小到大编秩[br][/br]', '把\xa0[tex=1.214x1.214]aPEXl5NwbsoRJ+ZYVndSJQ==[/tex]\xa0与[tex=1.214x1.214]SQWwo8FHSU71fR9D9DebOA==[/tex]\xa0分别按绝对值从小到大编秩[br][/br]'], 'type': 102}

    • 4

      设随机变量X和Y都服从参数为[tex=1.929x1.0]gxrfjGywTmMyUTlzuOosYw==[/tex]的指数分布,则[tex=12.643x1.357]IcFzvYYROzOUPF1gqhZFWYWrnUixQdXwk95aZrpWFjxnaMz8762I1fs/5Hdcq5jOMsLZ6mdXhnT/KB0cQUEF+w==[/tex][input=type:blank,size:4][/input].A.1B.2C.3D.4