I would certainly select alternatives 2 and 3, however I struggle to identify just how either among these have the right to organize true or false...
You are watching: Which of the following statements is not always true?
(1) and (4) are false in general. Just take $Omega = 1,2,3$ and $jiyuushikan.orgbb P$ uniformly dispersed, take $A = B = 1,2$. Then $jiyuushikan.orgbb P(A cup B) = frac23$, however $|A|+|B| = 4 ge 3 = |Omega|$, and also $jiyuushikan.orgbb P(A) + jiyuushikan.orgbb P(B) = frac43 > 1$
(3) is true in basic. Keep in mind that $jiyuushikan.orgbb P(A cup B) = jiyuushikan.orgbb P(A) + jiyuushikan.orgbb P(B) - jiyuushikan.orgbb P(A cap B)$. If $jiyuushikan.orgbb P(A) + jiyuushikan.orgbb P(B) > 1$, then $jiyuushikan.orgbb P(A cap B) $ must be greater than $0$, too, because $jiyuushikan.orgbb P(A cup B) $ cannot be higher than $1$.
About the (2), I need to have actually more information, favor is $Omega$ finite, and also $jiyuushikan.orgbb P$ uniformly distributed? If so, then answer if yes. But not in general
Thanks for contributing a solution to jiyuushikan.orgematics Stack Exchange!Please be certain to answer the question. Provide details and also share your research!
But avoid …Asking for help, clarification, or responding to various other answers.Making statements based upon opinion; back them up through references or individual suffer.
Use jiyuushikan.orgJax to format equations. jiyuushikan.orgJax recommendation.
See more: Twinkle Twinkle Little Star Why Is Art So Hard Tumblr, #Why Is Art So Fucking Hard On Tumblr
To learn more, view our tips on writing good answers.
Message Your Answer Discard
By clicking “Message Your Answer”, you agree to our terms of business, privacy plan and cookie plan
Not the answer you're looking for? Browse other questions tagged probcapacity inetop quality or ask your own question.
Tbelow are $2n+1$ statements. In jiyuushikan.orgs, a statement is defined as a sentence that is either true or false.
site design / logo design © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. rev2021.11.19.40795