a La probabilidad de que todas las bolas sean del mismo color b La probabilidad

# A la probabilidad de que todas las bolas sean del

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608 Tipifica los siguientes valores de una variable aleatoria con μ= 3 y σ= 2. a) x 1 = 3 b) x 2 = 4,5 c) x 3 = − 0,5 d) x 4 = − 1 Compara los datos de estas distribuciones. x 1 = 2 (con μ= 1, σ= 2) x 2 = 1 (con μ= 2, σ= 1) x 3 = 1,5 (con μ= 1,5; σ= 1,5) z 2 < z 3 < z 1 Si la variable aleatoria X sigue una distribución normal X N (5, 2), calcula las siguientes probabilidades. a) P ( X < 2) c) P ( X = 4) e) P ( X < 7) b) P ( X > 3) d) P ( X = 6) f) P ( X = 8) c) P ( X = 4) = 0 d) P ( X = 6) = 0 f) P ( X = 8) = 0 Una variable aleatoria X se distribuye según una normal de media μ y desviación típica σ . Sabemos que los cuartiles de la distribución valen 12 y 36, respectivamente. ¿Cuánto valen la media μ y la desviación típica σ ? 12 36 24 = − = = = μ σ μ σ μ σ 0,68 0,68 17,647 P X P X P Z ( ) < = < = < 36 36 36 μ σ μ σ μ σ = = = 0,75 0,68 0,68 36 36 μ σ μ σ P X P X P Z ( ) < = < = < 12 12 12 μ σ μ σ μ σ = < − = 0,25 0,75 P Z 12 12 μ σ = = − μ σ μ σ 0,68 0,68 12 018 e) 0,841 P X P X P Z ( ) ( ) < = <

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