A selection of normal distribution cumulative distribution functions (CDFs). Both the mean, μ, and variance, σ², are varied.
<div class="legend" style="direction:ltr;line-height:23px;"><div class="legend-content" style="display:inline-block;vertical-align:top;box-sizing:border-box;width:34px;height:23px;overflow:hidden;font-size:15px;border:thin solid #333;background:#0000b0;color:#202122;text-align:center;"> </div> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu =0,\sigma ^{2}=0.2}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ<!-- μ --></mi><mo>=</mo><mn>0</mn><mo>,</mo><msup><mi>σ<!-- σ --></mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>=</mo><mn>0.2</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \mu =0,\sigma ^{2}=0.2}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87ffb0d5a23c2821bd5c58e7569d92b4e7c5f8b3" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:15.151ex; height:3.176ex;" alt="{\displaystyle \mu =0,\sigma ^{2}=0.2}"></span></div>
<div class="legend" style="direction:ltr;line-height:23px;"><div class="legend-content" style="display:inline-block;vertical-align:top;box-sizing:border-box;width:34px;height:23px;overflow:hidden;font-size:15px;border:thin solid #333;background:#b00000;color:#202122;text-align:center;"> </div> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu =0,\sigma ^{2}=1}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ<!-- μ --></mi><mo>=</mo><mn>0</mn><mo>,</mo><msup><mi>σ<!-- σ --></mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>=</mo><mn>1</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \mu =0,\sigma ^{2}=1}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da1716366c248cf31ef1c9d3c8022ee43cd859c1" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:13.342ex; height:3.176ex;" alt="{\displaystyle \mu =0,\sigma ^{2}=1}"></span></div>
<div class="legend" style="direction:ltr;line-height:23px;"><div class="legend-content" style="display:inline-block;vertical-align:top;box-sizing:border-box;width:34px;height:23px;overflow:hidden;font-size:15px;border:thin solid #333;background:#d1c728;color:#202122;text-align:center;"> </div> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu =0,\sigma ^{2}=5}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ<!-- μ --></mi><mo>=</mo><mn>0</mn><mo>,</mo><msup><mi>σ<!-- σ --></mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>=</mo><mn>5</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \mu =0,\sigma ^{2}=5}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d95c3e5b961b62d58d24918bc4de2ffac17257c6" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:13.342ex; height:3.176ex;" alt="{\displaystyle \mu =0,\sigma ^{2}=5}"></span></div>
<div class="legend" style="direction:ltr;line-height:23px;"><div class="legend-content" style="display:inline-block;vertical-align:top;box-sizing:border-box;width:34px;height:23px;overflow:hidden;font-size:15px;border:thin solid #333;background:#0fb50f;color:#202122;text-align:center;"> </div> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu =-2,\sigma ^{2}=0.5}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ<!-- μ --></mi><mo>=</mo><mo>−<!-- − --></mo><mn>2</mn><mo>,</mo><msup><mi>σ<!-- σ --></mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>=</mo><mn>0.5</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \mu =-2,\sigma ^{2}=0.5}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0af3e881b4ab6d74b509efe9335215d0cfcea28a" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:16.96ex; height:3.176ex;" alt="{\displaystyle \mu =-2,\sigma ^{2}=0.5}"></span></div>
<a href="//commons.wikimedia.org/wiki/User:MartinThoma" title="User:MartinThoma">MartinThoma</a>
2014-08-10
<span class="int-own-work" lang="en">Own work</span>