设，n=1,2,...，则当时，依概率收敛到1。https://img-ph-mirror.nosdn.127.net/hZM0olij5nqNZIKK23DMOQ==/6630887445792453443.pnghttps://img-ph-mirror.nosdn.127.net/mEL1KYPaCfhCxvAqAqJDvw==/1438337131091693287.pnghttps://img-ph-mirror.nosdn.127.net/teFw9dWCjy4xgYnz-6BRCA==/6619337076142062534.png

设相互独立同分布，，则当时，依概率收敛到100.https://img-ph-mirror.nosdn.127.net/inS2i40jk2lAF44gVDRzDA==/6608412328608987074.pnghttps://img-ph-mirror.nosdn.127.net/TZaxUB2NqWeee6KHx5VSMA==/6630840166792566300.pnghttps://img-ph-mirror.nosdn.127.net/mEL1KYPaCfhCxvAqAqJDvw==/1438337131091693287.pnghttps://img-ph-mirror.nosdn.127.net/bWLk7nHy91oS97Mx8POEXA==/6608731186980567455.png

设随机变量序列,已知时，依概率收敛到1，这意味着对于任给的ε>0，存在N，当n>N时，成立。https://img-ph-mirror.nosdn.127.net/inS2i40jk2lAF44gVDRzDA==/6608412328608987074.pnghttps://img-ph-mirror.nosdn.127.net/mEL1KYPaCfhCxvAqAqJDvw==/1438337131091693287.pnghttps://img-ph-mirror.nosdn.127.net/teFw9dWCjy4xgYnz-6BRCA==/6619337076142062534.pnghttps://img-ph-mirror.nosdn.127.net/SwkmJwhRECxvU2K6wsFBSg==/6630889644815708723.png

设随机变量序列,已知时，依概率收敛到1，这意味着对于任给的03b5>0，存在N，当n>N时，成立。https://img-ph-mirror.nosdn.127.net/inS2i40jk2lAF44gVDRzDA==/6608412328608987074.pnghttps://img-ph-mirror.nosdn.127.net/mEL1KYPaCfhCxvAqAqJDvw==/1438337131091693287.pnghttps://img-ph-mirror.nosdn.127.net/teFw9dWCjy4xgYnz-6BRCA==/6619337076142062534.pnghttps://img-ph-mirror.nosdn.127.net/SwkmJwhRECxvU2K6wsFBSg==/6630889644815708723.png

一盒中有3个红球2个白球，采用放回抽样， 表示第i次取到的红球数，i=1,2,...， 则当时，依概率收敛到0.6.https://img-ph-mirror.nosdn.127.net/OBGEaDIYfibQkzBP1n16Pg==/857372779161088920.pnghttps://img-ph-mirror.nosdn.127.net/mEL1KYPaCfhCxvAqAqJDvw==/1438337131091693287.pnghttps://img-ph-mirror.nosdn.127.net/bWLk7nHy91oS97Mx8POEXA==/6608731186980567455.png