• 2022-11-04
    求掷n颗骰子出现点数之和的数学期望与方差.
  • 解:设[tex=0.857x1.0]N7iCrOsS+NNEUUlnsYCi1g==[/tex]表示“第i颗骰子出现的点数”,X表示“n颗骰子出现点数之和”,有[tex=4.5x3.286]HDDGxOtRhD5jxlVRfpJB3dCyqE3B1XgW9CfhHy0mWJw=[/tex],[br][/br]且 [tex=1.071x1.214]xeonBC5gK1NX8OhFCxUZFA==[/tex] 的分布列为[tex=12.571x4.071]I08GkjPu5ilZ1cL3oVOjRLkZwNNJ5iqQ3FM+M1l+mMCtvPWjGnF/hph/g/p+Bk6zwTDGGJyLHaLvGeHjOhIgpRAyBmkT/RK9uugzA3dnSBIBDgcpdcCq5B5iXiGDtB/FHidlcVaL4pl5x9R+XhbyWZpTJClIya6mb/kl0oYVsHweF5W5grdf6a8yKm+N4SHifjFrfjTwRwkfP/bdj49oscet0XzayMBp+G2rBXiN4if5dt8MJYR0CVVWa8t8EHiZ[/tex]则 [tex=27.429x2.357]p3/SEba6G3GZEU+PaVDh4jmC2TrBbZk0bQY9LK0/t2WqA3Wlc4kkOvXZbbnQJWSRVEURSXj6ofHK/8okj6/4fqKLJjpfyKisAX6CK4aVcVk1SZ1niKYTz1vsi8nAFqjI2uZLl7HWR8yb1XW5OaaXS2t688Lg/NdKIdkyi8CyZNoOumkIJF7W1klMeJFlHfaW/4dpqov3oQ0rPtJa+Bmf6aVUrruXEfmKkShT4yuJTdI=[/tex]且 [tex=28.286x2.357]LTWycgPeEAK22tLkuFeihrXu4BgyRhhTLn8ht7hfJvtA/6u2rb8jMIQKMoTprgYERB361P0Ep/gf44n1ZZvjVuhIEE1N/I/PDpG+lsXyBolZIc4anFnYxo1aM1SlgzQ/qOShLx8iokBSJgqRDTaGS2tdhtMH/CcX/X0jQch4ASApH2WB8fUSeRAJvzS/+4aLWGaWMKqRuR69mpbWNuqbgXnDD1oFeBG8MStZXzKovxY6kpO26FtKntPNrQGE1qIf[/tex],可得 [tex=20.857x2.929]iMO1fBS6u6quko082x6jeuP+qT5eRPFxDbWDt+ol8NPeQ28YItNWLCzYhppPw2v3m06CtlYIUeeebCpHlcbnb5UVGrYnaIbxUS6/zmT6g/ZhDyvqWD4nAm2MhRMfE4qySfJxhBTgIgpVSzDVgWvsXKpBqml7dZrCfJ6kTFWoD+Zx7vDivde674YoYFXFP65vK/29cL1hAYyu1/IwX2Pblg==[/tex],故 [tex=24.357x3.286]4O6zGe3Z9YY2cZO0HtCkgJcrRoorRbPm3MDtphAEqaVLGqQiuszSr4c416qcpBWMF3htks5PHRhhqQND8pUi3ymSp+efq/par7HaUwnCuHFqjFBydK94Pt2dncxiSsjDDb0jdyRKNObhpijwLRaPF4oXXXvQIJmfgJyoJ8ArQX93jaelpzl4JjSvYZeXlZSC9gnIaW/6qTbpQd8o6FNQ1w==[/tex]

    内容

    • 0

      事件“掷两枚骰子,出现点数之和小于2”是什么事件?

    • 1

      掷一颗骰子两次,求其点数之和与点数之差的协方差.

    • 2

      掷两颗骰子,求下列事件的概率:点数之和不超过5。

    • 3

      掷二枚骰子,出现的点数之和等于3的概率为()

    • 4

      掷两枚骰子,求下列事件的概率:(1) 点数之和为7; (2) 点数之和不超过 5 ;(3)点数之和为偶数