设连续型随机变量<imgwidth="19"height="17"v:shapes="_x0000_i1182"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image266.png">的密度函数为<imgwidth="36"height="21"v:shapes="_x0000_i1183"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image268.png">,则当()时,<imgwidth="80"height="35"v:shapes="_x0000_i1184"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image270.png">为随机变量<imgwidth="19"height="17"v:shapes="_x0000_i1185"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image266.png">数学期望.
①
<imgwidth="80"height="35"v:shapes="_x0000_i1186"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image270.png">收敛
②
<imgwidth="36"height="21"v:shapes="_x0000_i1187"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image268.png">为有界函数
③
<imgwidth="88"height="29"v:shapes="_x0000_i1188"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image274.png">
④
<imgwidth="80"height="35"v:shapes="_x0000_i1189"src="http://wljy.whut.edu.cn/uploadfiles/word/xxdsb09.files/image270.png">绝对收敛