A manufacturer knows that their items have a normally distributed...

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# A manufacturer knows that their items have a normally distributed...

A manufacturer knows that their items have a normally distributed length, with a mean of 12.4 inches, and standard deviation of 4.1 inches. If one item is chosen at random, what is the probability that it is less than 10 inches long?

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sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. P

10,000 step-by-step explanations

<p>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. P</p><p><span class="eqneditor-formula" data-value="P( X&lt; 10) = P\left ( z&lt; \frac{10 - 12.4} {4.1}\right )"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.07847em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1.20001em;vertical-align:-.35001em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mspace" style="margin-right:.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size1">s</span></span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.845108em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span><span class="mord mtight">s</span><span class="mord mtight">s</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span><span class="mord mtight">s</span><span class="mbin mtight">sec</span><span class="mord mtight">s</span><span class="mord mtight">s</span><span class="mord mtight">s</span><span class="mord mtight">s</span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size1">s</span></span></span></span></span></span></span></p><p>sectetur adipiscing elit. Nam</p><p>sectetur adipiscing e</p><p>sectetur adip<strong>sectetur</strong></p><p><strong>sectetur adipisci</strong></p>

## Step-by-step explanation

sectetur adipiscing elit. Nam lacinia pulvinar tortor nec fac

sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. P