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realstealthninja
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@@ -4,7 +4,7 @@
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<title>TheAlgorithms/C++: probability/binomial_dist.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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@@ -124,20 +124,20 @@ $(function(){initNavTree('d6/db0/binomial__dist_8cpp_source.html','../../'); ini
<div class="headertitle"><div class="title">binomial_dist.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d6/db0/binomial__dist_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<a href="../../d6/db0/binomial__dist_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813"> 22</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_expected</a>(<span class="keywordtype">double</span> n, <span class="keywordtype">double</span> p) { <span class="keywordflow">return</span> n * p; }</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861"> 29</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861">binomial_variance</a>(<span class="keywordtype">double</span> n, <span class="keywordtype">double</span> p) { <span class="keywordflow">return</span> n * p * (1 - p); }</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span></div>
<div class="foldopen" id="foldopen00036" data-start="{" data-end="}">
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="../../d6/db0/binomial__dist_8cpp.html#af09e51f513cee647d41192ab0a872cdc"> 36</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#af09e51f513cee647d41192ab0a872cdc">binomial_standard_deviation</a>(<span class="keywordtype">double</span> n, <span class="keywordtype">double</span> p) {</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861">binomial_variance</a>(n, p));</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span></div>
<div class="foldopen" id="foldopen00047" data-start="{" data-end="}">
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a"> 47</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a>(<span class="keywordtype">double</span> n, <span class="keywordtype">double</span> r) {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">double</span> numerator = n;</div>
@@ -154,13 +154,13 @@ $(function(){initNavTree('d6/db0/binomial__dist_8cpp_source.html','../../'); ini
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">return</span> numerator / denominator;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span></div>
<div class="foldopen" id="foldopen00065" data-start="{" data-end="}">
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="../../d6/db0/binomial__dist_8cpp.html#a19ae0a6a2bd200fd1eb0e31b2bf4cc76"> 65</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a19ae0a6a2bd200fd1eb0e31b2bf4cc76">binomial_x_successes</a>(<span class="keywordtype">double</span> n, <span class="keywordtype">double</span> p, <span class="keywordtype">double</span> x) {</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a>(n, x) * std::pow(p, x) * std::pow(1 - p, n - x);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>}</div>
</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span></div>
<div class="foldopen" id="foldopen00074" data-start="{" data-end="}">
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="../../d6/db0/binomial__dist_8cpp.html#a76ed6ce71415fb400b65f0656cef3d25"> 74</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a76ed6ce71415fb400b65f0656cef3d25">binomial_range_successes</a>(<span class="keywordtype">double</span> n, <span class="keywordtype">double</span> p, <span class="keywordtype">double</span> lower_bound,</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">double</span> upper_bound) {</div>
@@ -171,7 +171,7 @@ $(function(){initNavTree('d6/db0/binomial__dist_8cpp_source.html','../../'); ini
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../d4/ded/namespaceprobability.html">probability</a>;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>}</div>
</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span></div>
<div class="foldopen" id="foldopen00084" data-start="{" data-end="}">
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"><a class="line" href="../../d6/db0/binomial__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 84</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> std::cout &lt;&lt; <span class="stringliteral">&quot;expected value : &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_expected</a>(100, 0.5)</div>
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