1rBTX 07. PROBABILITAT/1.7.2 Regla de Laplace 1.7.2.97Q NormalTempsDeVida  El temps de vida d'un article es distribueix normalment amb una mitjana #m1 h i desviació estàndard #s1 h. Doneu un temps de vida tal que el superin el #t1 % dels articles
 (Format: fracció).

 

 

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1.0000000 0.5000000 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m1</mi><mo>=</mo><mn>100</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mn>50</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>m2</mi><mo>=</mo><mn>10</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>90</mn><mo>,</mo><mn>150</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e1</mi><mo>=</mo><mfrac><mrow><mi>m2</mi><mo>-</mo><mi>m1</mi></mrow><mi>s1</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mfenced><mrow><mi>m2</mi><mo>&gt;</mo><mi>m1</mi></mrow></mfenced><mo>∧</mo><mfenced><mrow><mi>e1</mi><mo>⩽</mo><mn>3</mn></mrow></mfenced></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>-</mo><mfrac><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mi>m1</mi></mrow></mfenced><mn>2</mn></msup><mrow><mn>2</mn><mo>*</mo><msup><mi>s1</mi><mn>2</mn></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mfrac><mrow><mi>m2</mi><mo>-</mo><mi>m1</mi></mrow><mi>s1</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t11</mi><mo>=</mo><msubsup><mo>∫</mo><mn>0</mn><mi>m2</mi></msubsup><mfrac><msup><exponentiale/><mi>t1</mi></msup><mrow><mi>s1</mi><mo>*</mo><msqrt><mrow><mn>2</mn><mo>*</mo><pi/></mrow></msqrt></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><mi>t11</mi><mo>)</mo></mrow><mn>1</mn></mfrac><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>m2</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>,</mo><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1000</mn><mo>,</mo><mn>50</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1040</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t11</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.78814</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>79.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1040</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">3</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option><option name="float_format">mr</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per trobar z amb «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»z«/mi»«mo»-«/mo»«mo»#«/mo»«mi»m«/mi»«mn»1«/mn»«/mrow»«mrow»«mo»#«/mo»«mi»s«/mi»«mn»1«/mn»«/mrow»«/mfrac»«/math» , cal trobar quin valor correspon al tant per cent demanat en la taula.

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