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4Opción A

2,5 puntos
Apartado 4Bloque E

Resuelve una de las siguientes tareas (4A o 4B).

En un criadero de cobayas tienen variedades de pelo corto y de pelo largo. En cualquiera de estas variedades, disponen de animales blancos o marrones. Del total de cobayas, el 60%60\% es de pelo corto, y solo el 8%8\% son blancas de pelo largo.
a
Calcula la probabilidad de que, habiendo elegido una cobaya de pelo largo al azar, esta sea de color marrón.0,75 pts
Si la probabilidad de escoger al azar una cobaya blanca es de 0,20{,}2:
b
Calcula la probabilidad de que, habiendo escogido una cobaya marrón al azar, esta sea de pelo largo.1 pt
c
Calcula la probabilidad de que, habiendo escogido una cobaya de pelo corto, esta sea marrón.0,75 pts

Formulario

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Tabla de la distribución normal N(0,1)N(0,1)P(z≤z0)=12π∫−∞z0e−z22 dz\begin{aligned}P(z \leq z_0) &= \\ &\frac{1}{\sqrt{2\pi}}\int_{-\infty}^{z_0} e^{-\frac{z^2}{2}}\,dz\end{aligned}
Curva de la distribución normal centrada en cero, con el área acumulada sombreada hasta la abscisa positiva indicada.
z0z_00,000,010,020,030,040,050,060,070,080,09z0z_0
0,00,50000,50400,50800,51200,51600,51990,52390,52790,53190,53590,0
0,10,53980,54380,54780,55170,55570,55960,56360,56750,57140,57530,1
0,20,57930,58320,58710,59100,59480,59870,60260,60640,61030,61410,2
0,30,61790,62170,62550,62930,63310,63680,64060,64430,64800,65170,3
0,40,65540,65910,66280,66640,67000,67360,67720,68080,68440,68790,4
0,50,69150,69500,69850,70190,70540,70880,71230,71570,71900,72240,5
0,60,72570,72910,73240,73570,73890,74220,74540,74860,75170,75490,6
0,70,75800,76110,76420,76730,77040,77340,77640,77940,78230,78520,7
0,80,78810,79100,79390,79670,79950,80230,80510,80780,81060,81330,8
0,90,81590,81860,82120,82380,82640,82890,83150,83400,83650,83890,9
1,00,84130,84380,84610,84850,85080,85310,85540,85770,85990,86211,0
1,10,86430,86650,86860,87080,87290,87490,87700,87900,88100,88301,1
1,20,88490,88690,88880,89070,89250,89440,89620,89800,89970,90151,2
1,30,90320,90490,90660,90820,90990,91150,91310,91470,91620,91771,3
1,40,91920,92070,92220,92360,92510,92650,92790,92920,93060,93191,4
1,50,93320,93450,93570,93700,93820,93940,94060,94180,94290,94411,5
1,60,94520,94630,94740,94840,94950,95050,95150,95250,95350,95451,6
1,70,95540,95640,95730,95820,95910,95990,96080,96160,96250,96331,7
1,80,96410,96490,96560,96640,96710,96780,96860,96930,96990,97061,8
1,90,97130,97190,97260,97320,97380,97440,97500,97560,97610,97671,9
2,00,97720,97780,97830,97880,97930,97980,98030,98080,98120,98172,0
2,10,98210,98260,98300,98340,98380,98420,98460,98500,98540,98572,1
2,20,98610,98640,98680,98710,98750,98780,98810,98840,98870,98902,2
2,30,98930,98960,98980,99010,99040,99060,99090,99110,99130,99162,3
2,40,99180,99200,99220,99250,99270,99290,99310,99320,99340,99362,4
2,50,99380,99400,99410,99430,99450,99460,99480,99490,99510,99522,5
2,60,99530,99550,99560,99570,99590,99600,99610,99620,99630,99642,6
2,70,99650,99660,99670,99680,99690,99700,99710,99720,99730,99742,7
2,80,99740,99750,99760,99770,99770,99780,99790,99790,99800,99812,8
2,90,99810,99820,99820,99830,99840,99840,99850,99850,99860,99862,9
3,00,998650,998690,998740,998780,998820,998860,998890,998930,998960,999003,0
3,10,999030,999060,999100,999130,999160,999180,999210,999240,999260,999293,1
3,20,999310,999340,999360,999380,999400,999420,999440,999460,999480,999503,2
3,30,999520,999530,999550,999570,999580,999600,999610,999620,999640,999653,3
3,40,999660,999680,999690,999700,999710,999720,999730,999740,999750,999763,4
3,50,999770,999780,999780,999790,999800,999810,999810,999820,999830,999833,5
3,60,999840,999850,999850,999860,999860,999870,999870,999880,999880,999893,6
3,70,999890,999900,999900,999900,999910,999910,999920,999920,999920,999923,7
3,80,999930,999930,999930,999940,999940,999940,999940,999950,999950,999953,8
3,90,999950,999950,999960,999960,999960,999960,999960,999960,999970,999973,9