【单选题】【消耗次数：1】
如果函数<imgwidth="136"height="48"v:shapes="_x0000_i1180"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image260.png">是某连续型随机变量<imgwidth="19"height="17"v:shapes="_x0000_i1181"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image262.png">的概率密度,则区间<imgwidth="37"height="27"v:shapes="_x0000_i1182"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image264.png">可以是（）
①
<imgwidth="33"height="27"v:shapes="_x0000_i1183"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image266.png">
②
<imgwidth="37"height="27"v:shapes="_x0000_i1184"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image268.png">
③
<imgwidth="54"height="32"v:shapes="_x0000_i1185"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image270.png">
④
<imgwidth="33"height="27"v:shapes="_x0000_i1186"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image272.png">
参考答案：
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【单选题】
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【单选题】
设随机变量<imgwidth="90"height="25"v:shapes="_x0000_i1078"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image084.png">，则<imgwidth="74"height="19"v:shapes="_x0000_i1079"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image086.png">服从（）
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<imgwidth="108"height="25"v:shapes="_x0000_i1083"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image094.png">
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已知随机变量<imgwidth="77"height="21"v:shapes="_x0000_i1134"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image174.png">，则随机变量<imgwidth="73"height="17"v:shapes="_x0000_i1135"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image176.png">的概率密度<imgwidth="54"height="25"v:shapes="_x0000_i1136"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image178.png">（）
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<imgwidth="131"height="49"v:shapes="_x0000_i1137"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image180.png">
②
<imgwidth="123"height="49"v:shapes="_x0000_i1138"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image182.png">
③
<imgwidth="88"height="49"v:shapes="_x0000_i1139"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image184.png">
④
<imgwidth="123"height="49"v:shapes="_x0000_i1140"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image186.png">
【单选题】
设函数<imgwidth="36"height="21"v:shapes="_x0000_i1221"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image288.png">在区间<imgwidth="36"height="21"v:shapes="_x0000_i1222"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image340.png">上等于<imgwidth="35"height="19"v:shapes="_x0000_i1223"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image342.png">,而在此区间外等于0;若<imgwidth="36"height="21"v:shapes="_x0000_i1224"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image288.png">可以作为某连续随机变量的概率密度函数,则区间<imgwidth="36"height="21"v:shapes="_x0000_i1225"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image340.png">为（）
①
<imgwidth="40"height="41"v:shapes="_x0000_i1226"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image344.png">
②
<imgwidth="37"height="21"v:shapes="_x0000_i1227"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image346.png">
③
<imgwidth="54"height="42"v:shapes="_x0000_i1228"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image348.png">
④
<imgwidth="48"height="42"v:shapes="_x0000_i1229"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image350.png">
【单选题】
设随机变量X的概率密度函数为<imgwidth="36"height="21"v:shapes="_x0000_i1112"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image139.png">，且<imgwidth="88"height="27"v:shapes="_x0000_i1113"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image141.png">，则必有（）
①
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②
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③
<imgwidth="90"height="35"v:shapes="_x0000_i1118"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image149.png">
④
<imgwidth="36"height="21"v:shapes="_x0000_i1119"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image139.png">在<imgwidth="50"height="27"v:shapes="_x0000_i1120"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image144.png">上单调增加
【单选题】
设离散的随机变量X的分布为<imgwidth="222"height="27"v:shapes="_x0000_i1155"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image211.png">则<imgwidth="27"height="19"v:shapes="_x0000_i1156"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image213.png">（）
①
<imgwidth="32"height="19"v:shapes="_x0000_i1157"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image215.png">
②
任意正实数
③
<imgwidth="35"height="41"v:shapes="_x0000_i1158"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image217.png">
④
<imgwidth="35"height="41"v:shapes="_x0000_i1159"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image219.png">
【单选题】
<imgwidth="19"height="17"v:shapes="_x0000_i1194"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image262.png">为连续型随机变量，<imgwidth="36"height="21"v:shapes="_x0000_i1195"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image288.png">为其概率密度函数，则（）
①
<imgwidth="83"height="21"v:shapes="_x0000_i1196"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image290.png">
②
<imgwidth="56"height="21"v:shapes="_x0000_i1197"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image292.png">
③
<imgwidth="112"height="21"v:shapes="_x0000_i1198"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image294.png">
④
<imgwidth="59"height="21"v:shapes="_x0000_i1199"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image296.png">
【单选题】
设随机变量<imgwidth="13"height="15"v:shapes="_x0000_i1216"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image328.png">和<imgwidth="13"height="17"v:shapes="_x0000_i1217"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image330.png">的密度函数分别为<imgwidth="131"height="48"v:shapes="_x0000_i1218"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image332.png"><imgwidth="140"height="50"v:shapes="_x0000_i1219"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image334.png">若<imgwidth="13"height="15"v:shapes="_x0000_i1220"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image328.png">与<imgwidth="13"height="17"v:shapes="_x0000_i1221"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image330.png">相互独立，则<imgwidth="57"height="21"v:shapes="_x0000_i1222"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image336.png">（）
①
1
②
<imgwidth="16"height="41"v:shapes="_x0000_i1223"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image338.png">
③
<imgwidth="15"height="41"v:shapes="_x0000_i1224"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image340.png">
④
<imgwidth="16"height="41"v:shapes="_x0000_i1225"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb08.files/image342.png">
【单选题】
<imgwidth="16"height="17"v:shapes="_x0000_i1037"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image012.png">之积为不可能事件，则称<imgwidth="16"height="17"v:shapes="_x0000_i1038"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image010.png">与<imgwidth="16"height="17"v:shapes="_x0000_i1039"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb07.files/image012.png">（）
①
相互独立
②
互不相容
③
对立
④
构成完备事件组
随机题目
【判断题】
教室中有r个学生，则他们的生日（一年以365天计）都不相同的概率是<img class=jc-formula data-tex=\frac { { A }_{ 365 }^{ r } }{ { 365 }^{ r } } src=https://huaweicloudobs.ahjxjy.cn/6C838E81EA84324651C979BC1EE9DCF5.png style=vertical-align: middle;/>
①
正确
②
错误