document.write( "Question 1166838: Una facultad de contaduría de la capital funciona en tres jornadas: mañana, tarde y noche. En un grupo de estudiantes que finalizan la carrera, se encuentran que el 25 % egresan de la jornada diurna, el 15% de la jornada tarde y el restante 60% de la jornada nocturna. Un 14% de los egresados de la mañana se graduó por promedio de calificación exigida por la facultad, un 8% de la tarde y un 22% de la nocturna. ¿Cuál es la probabilidad, al realizar la selección de un estudiante graduado por alcanzar promedio exigido, de que este provenga de la jornada diurna? \n" ); document.write( "

Algebra.Com's Answer #852693 by ikleyn(53107) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "                 English translation via Google translator\r
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\n" ); document.write( "\n" ); document.write( "A school of accounting in the capital operates on three shifts: morning, afternoon, and evening.
\n" ); document.write( "In a group of graduating students, 25% graduated from the day shift, 15% from the afternoon shift,
\n" ); document.write( "and the remaining 60% from the evening shift.
\n" ); document.write( "14% of the morning shift graduates achieved the required grade point average, 8% of the afternoon shift,
\n" ); document.write( "and 22% of the evening shift.
\n" ); document.write( "What is the probability, when selecting a student who graduated by achieving the required grade point average,
\n" ); document.write( "that this student came from the day shift?
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\n" ); document.write( "\n" ); document.write( "        Notice that in this incoming post the notions \" morning shift \" and \" the day shift \" are used as synonyms\r
\n" ); document.write( "\n" ); document.write( "        (without warning, which is not perfect).\r
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document.write( "This problem is about conditional probability.\r\n" );
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document.write( "In the formula for calculation this conditional probability, the denominator should be the part\r\n" );
document.write( "of students that achieved the required grade point, over all three shifts.\r\n" );
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document.write( "The numerator should be the part of the students from the day shift that achieved the required grade point.\r\n" );
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document.write( "So, the denominator is  0.25*0.14 + 0.15*0.08 + 0.60*0.22 = 0.179.\r\n" );
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document.write( "    the numerator   is  0.25*0.14 = 0.035.\r\n" );
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document.write( "Therefore, the probability under the problem's question is\r\n" );
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document.write( "    P =  =  = 0.1955 (rounded).\r\n" );
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document.write( "ANSWER.  The probability, when selecting a student who graduated by achieving the required grade point average, \r\n" );
document.write( "         that this student came from the day shift is 0.1955.\r\n" );
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\n" ); document.write( "\n" ); document.write( "When I criticize the writers for their mistakes, it is not because I am so bad and not because I want to demonstrate my superiority.\r
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\n" ); document.write( "\n" ); document.write( "It is for the authors to fix their mistakes and do not repeat them in the future. (And to say \" thanks\" to me for my cooperation).\r
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