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Test-Lidia
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<p> <font size="2">En qualsevol dia, la probabilitat de hi haja un incident en una fàbrica que disposa d'alarma és 0.1. La probabilitat de que funcione (cride) esta si s'ha donat un incident és 0.97 i la probabilitat de que funcione si no ha ocorregut res és 0.02.</font></p> <p><font size="2"><font color="#0000ff" style="background-color: rgb(255, 255, 0);">a)</font> Calculeu la probabilitat de que cride l'alarma un dia qualsevol.</font></p> <p><font size="2"><font color="#0000ff" style="background-color: rgb(255, 255, 0);">b)</font> Si un dia crida l'alarma, quina és la probabilitat de que haja hagut un incident?</font></p> <p><font size="2">Anomenem <strong><font size="3">I</font></strong> al succés hi ha un incident i <strong><font size="3">A</font></strong> al succés crida l'alarma. Sabem:</font></p><font size="2"> <table width="100%" border="1"><tbody> <tr> <td width="25%" valign="top"> </td> <td width="25%" valign="top"> <p align="center"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»I«/mi»«/math»</span></p> </td> <td width="25%" valign="top"> <p align="center"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mover»«mi»I«/mi»«mo»¯«/mo»«/mover»«/math»</span></p> </td> <td width="25%" valign="top"> </td> </tr> <tr> <td width="25%" valign="top"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»A«/mi»«/math»</span> </td> <td width="25%" valign="top"> <p align="right">0.097</p> </td> <td width="25%" valign="top"> <p align="right">{:SA:=0.018}</p> </td> <td width="25%" valign="top"> <p align="right">{:SA:=0.115}</p> </td> </tr> <tr> <td width="25%" valign="top"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mover»«mi»A«/mi»«mo»¯«/mo»«/mover»«/math»</span> </td> <td width="25%" valign="top"> <p align="right">{:SA:=0.003}</p> </td> <td width="25%" valign="top"> <p align="right">{:SA:=0.882}</p> </td> <td width="25%" valign="top"> <p align="right">{:SA:=0.885}</p> </td> </tr> <tr> <td width="25%" valign="top"> </td> <td width="25%" valign="top"> <p align="right">0.100</p> </td> <td width="25%" valign="top"> <p align="right">{:SA:=0.900}</p> </td> <td width="25%" valign="top"> <p align="right">1.000</p> </td> </tr></tbody> </table> <p>Per tant:</p> <table width="100%" border="1"><tbody> <tr> <td width="50%" valign="top"> <p align="center"><font size="2"><font color="#0000ff" style="background-color: rgb(255, 255, 0);">a)</font> <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»P«/mi»«mo»(«/mo»«mover»«mi»A«/mi»«mo»¯«/mo»«/mover»«mo»)«/mo»«mo»=«/mo»«/math»</span>{:SA:=0.885}</font></p> </td> <td width="50%" valign="top"> <p align="center"><font size="2"><font color="#0000ff" style="background-color: rgb(255, 255, 0);">b)</font> <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»P«/mi»«mo»(«/mo»«mover»«mi»I«/mi»«mo»¯«/mo»«/mover»«mo»/«/mo»«mi»A«/mi»«mo»)«/mo»«mo»=«/mo»«/math»</span>{:SA:=0.157}</font> </p> </td> </tr></tbody> </table> <p></p> <p><font size="2"></font></p> <p><font size="2"></font></p></font>
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Monday, 12 August 2013, 9:04 AM
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