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Halle $$$P{\left(X = 5 \right)}$$$ para la distribución geométrica con $$$n = 5$$$ y $$$p = 0.22$$$
Calculadora relacionada: Calculadora de distribución exponencial
Tu entrada
Calcular los distintos valores de la distribución geométrica con $$$n = 5$$$ y $$$p = 0.22 = \frac{11}{50}$$$ (incluya el ensayo de éxito).
Respuesta
Media: $$$\mu = \frac{1}{p} = \frac{1}{\frac{11}{50}} = \frac{50}{11}\approx 4.545454545454545$$$A.
Varianza: $$$\sigma^{2} = \frac{1 - p}{p^{2}} = \frac{1 - \frac{11}{50}}{\left(\frac{11}{50}\right)^{2}} = \frac{1950}{121}\approx 16.115702479338843.$$$A
Desviación estándar: $$$\sigma = \sqrt{\frac{1 - p}{p^{2}}} = \sqrt{\frac{1 - \frac{11}{50}}{\left(\frac{11}{50}\right)^{2}}} = \frac{5 \sqrt{78}}{11}\approx 4.014436757421749.$$$A
$$$P{\left(X = 5 \right)} = 0.0814331232$$$A
$$$P{\left(X \lt 5 \right)} = 0.62984944$$$A
$$$P{\left(X \leq 5 \right)} = 0.7112825632$$$A
$$$P{\left(X \gt 5 \right)} = 0.2887174368$$$A
$$$P{\left(X \geq 5 \right)} = 0.37015056$$$A