a El espacio muestral es E 1 C 2 C 3 C 4 C 5 C 6 C 1 X 2 X 3 X 4 X 5 X 6 X La

# A el espacio muestral es e 1 c 2 c 3 c 4 c 5 c 6 c 1

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a) El espacio muestral es: E = {(1, C ), (2, C ), (3, C ), (4, C ), (5, C ), (6, C ), (1, X ), (2, X ), (3, X ), (4, X ), (5, X ), (6, X )} La probabilidad de cada suceso elemental es . 1 12 002 0,18 0,16 0,14 0,12 0,1 0,08 0,06 0,04 0,02 2 3 4 5 6 7 8 9 10 11 12 X P ( X = x i ) P ( X x i ) 2 1 36 1 36 3 1 18 1 12 4 1 12 1 6 5 1 9 5 18 6 5 36 5 12 7 1 6 7 12 8 5 36 13 18 9 1 9 5 6 10 1 12 11 12 11 1 18 1 12 12 1 36 1 X (1, 1) = 2 X (1, 2) = 3 X (1, 3) = 4 X (1, 4) = 5 X (1, 5) = 6 X (1, 6) = 7 X (2, 1) = 3 X (2, 2) = 4 X (2, 3) = 5 X (2, 4) = 6 X (2, 5) = 7 X (2, 6) = 8 X (3, 1) = 4 X (3, 2) = 5 X (3, 3) = 6 X (3, 4) = 7 X (3, 5) = 8 X (3, 6) = 9 X (4, 1) = 5 X (4, 2) = 6 X (4, 3) = 7 X (4, 4) = 8 X (4, 5) = 9 X (4, 6) = 10 X (5, 1) = 6 X (5, 2) = 7 X (5, 3) = 8 X (5, 4) = 9 X (5, 5) = 10 X (5, 6) = 11 X (6, 1) = 7 X (6, 2) = 8 X (6, 3) = 9 X (6, 4) = 10 X (6, 5) = 11 X (6, 6) = 12 001 Distribuciones binomial y normal
604 En el experimento aleatorio que consiste en lanzar dos dados de 6 caras, consideramos la variable aleatoria X , que asocia a cada suceso elemental el producto de las puntuaciones que se ven. Halla y representa las funciones de probabilidad y de distribución. La función de probabilidad es: f x x x ( ) , , , , , , , , , = = = 1 36 1 9 16 25 36 1 18 2 3 5 8 10 1 si si 5 18 20 24 30 1 12 4 1 9 6 12 0 , , , , , si si en el resto x x = = X P ( X = x i ) P ( X x i ) 10 1 18 19 36 12 1 9 23 36 15 1 18 25 36 16 1 36 13 18 18 1 18 7 9 20 1 18 5 6 24 1 18 8 9 25 1 36 11 12 30 1 18 35 36 36 1 36 1 X P ( X = x i ) P ( X x i ) 1 1 36 1 36 2 1 18 1 12 3 1 18 5 36 4 1 12 2 9 5 1 18 5 18 6 1 9 7 18 8 1 18 4 9 9 1 36 17 36 X (1, 1) = 1 X (1, 2) = 2 X (1, 3) = 3 X (1, 4) = 4 X (1, 5) = 5 X (1, 6) = 6 X (2, 1) = 2 X (2, 2) = 4 X (2, 3) = 6 X (2, 4) = 8 X (2, 5) = 10 X (2, 6) = 12 X (3, 1) = 3 X (3, 2) = 6 X (3, 3) = 9 X (3, 4) = 12 X (3, 5) = 15 X (3, 6) = 18 X (4, 1) = 4 X (4, 2) = 8 X (4, 3) = 12 X

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