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单选题 设为连续型随机变量的密度函数,,且存在,则( )

A.

B.

C.

D.

概率论与数理统计课程封面

学科：概率论与数理统计

时间：2025-06-07 10:24:17

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题目1
单选题
设<img src="https://p.ananas.chaoxing.com/star3/origin/bbc2581b1b4ee1fc2aca8a685c3048f3.png">为连续型随机变量,<img src="https://p.ananas.chaoxing.com/star3/origin/dab9c82d5efb9e3273525a01912a16d8.png">为<img src="https://p.ananas.chaoxing.com/star3/origin/bbc2581b1b4ee1fc2aca8a685c3048f3.png">的密度函数,且<img src="https://p.ananas.chaoxing.com/star3/origin/33038e2521aee00f20d6aa0fb1455875.png">存在,则<img src="https://p.ananas.chaoxing.com/star3/origin/33038e2521aee00f20d6aa0fb1455875.png"> =( )
A. <img src="https://p.ananas.chaoxing.com/star3/origin/c0a24cf9d938df8e236bb005c9184b3d.png">B. <img src="https://p.ananas.chaoxing.com/star3/origin/8167dabfa46a0700482c4112982e23d7.png">C. <img src="https://p.ananas.chaoxing.com/star3/origin/f4f610ea9a30272d4beb450f8449a6aa.png">D. <img src="https://p.ananas.chaoxing.com/star3/origin/b46238c6f107213bc4c26beb4b24dfd2.png">
题目2
单选题
设<img src="https://p.ananas.chaoxing.com/star3/origin/bbc2581b1b4ee1fc2aca8a685c3048f3.png">为随机变量,<img src="https://p.ananas.chaoxing.com/star3/origin/07439157b257902515f58e93db774943.png">为常数,则<img src="https://p.ananas.chaoxing.com/star3/origin/c8826d2180f860cf690e8f53de9a731d.png">( )
A. <img src="https://p.ananas.chaoxing.com/star3/origin/3a8e609d7dae0683c00239cd17de7af9.png">B. <img src="https://p.ananas.chaoxing.com/star3/origin/33038e2521aee00f20d6aa0fb1455875.png">C. <img src="https://p.ananas.chaoxing.com/star3/origin/5ffade958c73d6e69c922b770705cd55.png">D. <img src="https://p.ananas.chaoxing.com/star3/origin/b84ea1b8e2b276488210be281bea3733.png">
题目3
单选题
离散型随机变量<img src="https://p.ananas.chaoxing.com/star3/origin/8fc0250b24eb557e9a5d32316c439e54.png">的分布律如下,则<img src="https://p.ananas.chaoxing.com/star3/origin/1da5530ce21f348568972de766824e99.png">( ). <img src="https://p.ananas.chaoxing.com/star3/origin/2b69049ca911b960abad991f530be536.png">
A. 1.0B. 1.1C. 0.9D. 0.6
题目4
单选题
设随机变量<img src="https://p.ananas.chaoxing.com/star3/origin/bd1c1f0ff967e7ee11e860e6a6acf0ba.png">的分布律为<img src="https://p.ananas.chaoxing.com/star3/origin/7f175ead958624ee56d2299395b5fe17.png">,则<img src="https://p.ananas.chaoxing.com/star3/origin/d82e1e5863453cff38a4678ca0bcd530.png">( )
A. 2.5B. 0.8C. 2.8D. 0.2
题目5
单选题
设<img src="https://p.ananas.chaoxing.com/star3/origin/bbc2581b1b4ee1fc2aca8a685c3048f3.png">为离散型随机变量,<img src="https://p.ananas.chaoxing.com/star3/origin/290d5f568f522d43b2c5b73761d0d300.png">(k = 1、2、…)为它的分布律,且<img src="https://p.ananas.chaoxing.com/star3/origin/33038e2521aee00f20d6aa0fb1455875.png">存在,则<img src="https://p.ananas.chaoxing.com/star3/origin/33038e2521aee00f20d6aa0fb1455875.png"> =( )
A. <img src="https://p.ananas.chaoxing.com/star3/origin/c5707decb82715089a5bd69cf50d8996.png">B. <img src="https://p.ananas.chaoxing.com/star3/origin/3b5aae9a3fb812adab8e94c936b8caae.png">C. <img src="https://p.ananas.chaoxing.com/star3/origin/70ad6c2ae5cc1e99976fc7d0c2818d38.png">D. <img src="https://p.ananas.chaoxing.com/star3/origin/20623c4a48726ba6b494819b7a7b3c76.png">
题目6
单选题
设<img src="https://p.ananas.chaoxing.com/star3/origin/dab9c82d5efb9e3273525a01912a16d8.png">为连续型随机变量<img src="https://p.ananas.chaoxing.com/star3/origin/bbc2581b1b4ee1fc2aca8a685c3048f3.png">的密度函数,<img src="https://p.ananas.chaoxing.com/star3/origin/cafb16e5fa03a187b73d71f02b014f7c.png">,且<img src="https://p.ananas.chaoxing.com/star3/origin/8830e89afe173090ecaf0aa3dfee1182.png">存在,则<img src="https://p.ananas.chaoxing.com/star3/origin/9ae0f09d463ee34dd29637c3015b2de4.png">( )
A. <img src="https://p.ananas.chaoxing.com/star3/origin/2de06d1b85800c88fcf189bc9b01358a.png">B. <img src="https://p.ananas.chaoxing.com/star3/origin/7b999c05d39d367e639c7ffd5bc2ee4e.png">C. <img src="https://p.ananas.chaoxing.com/star3/origin/e6d58c6d21b2bf9cbd4a2c0d08e09259.png">D. <img src="https://p.ananas.chaoxing.com/star3/origin/633a193fd0b563ef84b901635148f121.png">
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