Saltar navegación

Xogos

Problemas de matemáticas

Resolve os seguintes problemas de distribucións de probabilidade.

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Considereamos unha variáble aleatoria discreta X que representa o número de veces que un dado de seis caras sae un número par nunha serie de 5 lanzamentos. Calcula a probablidade de que saia máis de catro veces un número par.

O tempo medio de espera nunha cola dunha tenda é de 10 minutos cunha desviación estándar de 2 minutos. Supoñendo que segue unha distribución mnormal, cal é a probabilidade de que unha persoa espere máis de 12 minutos?

Un comerciante ten unha probabilidade do 60% de que un cliente realice unha compra cando entra na súa tenda. Se 20 clientes entran na tenda nun día, cal é a porcentaxe de que polo menos 18 realicen unha compra?

Cal é a probabilidade de que unha variable aleatoria normal estándar Z sexa maior que -1?

Considere unha distribución binomial con n = 200 e p = 0.5. Aplicar a aproximación binomial á normal para calcular a probabilidade de que polo menos 90 persoas teñan éxito nun experimento con 200 intentos.

Considere unha distribución binomial con n = 100 e p = 0.3. Aplicar a aproximación binomial á normal para calcular a probabilidade de que polo menos 25 persoas teñan éxito nun experimento con 100 intentos.

Consideramos unha variábel aleatoria continua X que representa a temperatura (en graos Celsius) nunha cidade. A función de densidade de probabilidade de X é a seguinte:

\[ f(x) = \begin{cases}  0.2 & \text{se } 10 \leq x \leq 20 \\ 0.4 & \text{se } 20 < x \leq 30 \\ 0.3 & \text{se } 30 < x \leq 40 \\ 0.1 & \text{se } 40 < x \leq 50 \\ 0 & \text{no resto} \end{cases} \]

Calcular a media.

Imaxinemos un xogo no que lanzamos un dado con caras numeradas de 1 a 6, pero con probabilidades desiguais asociadas a cada resultado. A función de probabilidade para a variábel aleatoria X, que representa o resultado do lanzamento do dado, é a seguinte:

xi P(X=xi)
1 0.1
2 0.1
3 0.2
4 0.3
5 0.2
6 0.1


Cal é a probabilidade de obter un resultado maior ou igual a 4 no lanzamento dun dado con esta función de probabilidade?

Su navegador no es compatible con esta herramienta.

Adiviña

2

Le a definición, observa as letras, identifica e enche as palabras que faltan. Ten en conta os acentos.

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O navegador non é compatible con esta ferramenta.

Sopa de letras

2

Busca e marca cada un dos termos da lista. Os termos poden aparecer en horizontal, vertical ou diagonalmente, así como ao revés. 

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