Responder:
1,625; 0.8569
Explicación paso a paso:
y ___0 ____ 1 ____ 2 ____3
P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8
Valor esperado (E (x)): Σx * p (x)
= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625
La desviación estándar = sqrt (Var (x))
Var (X) = Σx²p (x) * E (x) ²
Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²
Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2
= 3.375 - 2.640625
= 0,734375
Desviación estándar = Sqrt (0,734375) = 0,8569
