http://learn.cemetech.net/index.php?action=history&feed=atom&title=TI-BASIC%3ARandbin 2026-04-17T18:54:10Z Revision history for this page on the wiki MediaWiki 1.43.3 http://learn.cemetech.net/index.php?title=TI-BASIC:Randbin&diff=585&oldid=prev 2016-02-24T18:08:36Z

<p>Initial automated import</p> <p><b>New page</b></p><div>{{Template:TI-BASIC:Command<br /> |picture=RANDBIN.GIF<br /> |summary=Generates a random number with the binomial distribution.<br /> |syntax=randBin(&#039;&#039;n&#039;&#039;,&#039;&#039;p&#039;&#039;,&#039;&#039;# simulations&#039;&#039;)<br /> |location=Press:<br /> # MATH to access the [[TI-BASIC:Math|Math]] menu.<br /> # LEFT to access the PRB submenu.<br /> # 7 to select randBin(, or use arrows.<br /> |compatibility=TI-83/84/+/SE<br /> |size=2 bytes<br /> }}<br /> <br /> randBin(&#039;&#039;n&#039;&#039;,&#039;&#039;p&#039;&#039;) generates a pseudorandom integer between 0 and &#039;&#039;n&#039;&#039; inclusive according to the binomial distribution B(&#039;&#039;n&#039;&#039;,&#039;&#039;p&#039;&#039;) - that is, &#039;&#039;n&#039;&#039; trials of an event with probability of success &#039;&#039;p&#039;&#039; are performed, and the number of successes is returned. randBin(&#039;&#039;n&#039;&#039;,&#039;&#039;p&#039;&#039;,&#039;&#039;simulations&#039;&#039;) performs the above calculation &#039;&#039;simulations&#039;&#039; times, and returns a list of the results. The expected (average) result is &#039;&#039;n&#039;&#039;*&#039;&#039;p&#039;&#039;.<br /> <br /> &#039;&#039;n&#039;&#039; should be an integer greater than or equal to 1, while &#039;&#039;p&#039;&#039; should be a real number between 0 and 1 inclusive.<br /> <br /> &#039;&#039;seed&#039;&#039;→rand affects the output of randBin(<br /> <br /> 0→rand<br /> 0<br /> randBin(5,1/2<br /> 2<br /> randBin(5,1/2,10<br /> {3 3 2 4 3 2 2 2 4 3}<br /> <br /> = Formulas =<br /> <br /> The value of randBin( for a given seed can be expressed in terms of [[TI-BASIC:Rand|Rand]]:<br /> <br /> randBin(N,P)=sum(P&gt;rand(N<br /> <br /> This is identical to the output of randBin( in the sense that for the same seed, both expressions will generate the same random numbers.<br /> <br /> = Error Conditions =<br /> <br /> * &#039;&#039;&#039;[[TI-BASIC:Errors#domain|ERR:DOMAIN]]&#039;&#039;&#039; is triggered if the probability is not on the interval from 0 to 1.<br /> <br /> = Related Commands =<br /> <br /> * [[TI-BASIC:Rand|Rand]]<br /> * [[TI-BASIC:Randint|RandInt(]]<br /> * [[TI-BASIC:Randnorm|RandNorm(]]<br /> * [[TI-BASIC:Randm|RandM(]]<br /> * [[TI-BASIC:Randintnorep|randIntNoRep(]][[Category:TI-BASIC]]<br /> [[Category:TIBD]]</div>

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