Answer:
The parameters of the exponential distribution is 0.0133.
Step-by-step explanation:
Exponential distribution is a continuous probability distribution.
The density function of exponential distribution is,

Here the parameter θ is the reciprocal of the mean of the random variable <em>X</em>.
The random variable <em>X</em> has an average value of 75 seconds.
Compute the parameters of the exponential distribution as follows:


Thus, the parameters of the exponential distribution is 0.0133.
Answer:
a) 0.00019923%
b) 47.28%
Step-by-step explanation:
a) To find the probability of all sockets in the sample being defective, we can do the following:
The first socket will be in a group where 5 of the 38 sockets are defective, so the probability is 5/38
The second socket will be in a group where 4 of the 37 sockets are defective, as the first one picked is already defective, so the probability is 4/37
Expanding this, we have that the probability of having all 5 sockets defective is: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%
b) Following the same logic of (a), the first socket have a chance of 33/38 of not being defective, as we will pick it from a group where 33 of the 38 sockets are not defective. The second socket will have a chance of 32/37, and so on.
The probability will be (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%
Answer:
La altura del globo con respecto al suelo es 449,6 metros.
Step-by-step explanation:
La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?
El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:
Ciudad A


Ciudad B


Donde
y
son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.
A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:



Finalmente, la altura del globo con respecto al suelo es:



La altura del globo con respecto al suelo es 449,6 metros.
Well we need to multiply 55 by 2 because of the 2 days of renting. 55 * 2 = 110. Now we need to subtract 40 from 94 to find how many miles Samantha drove over 40. So 94 - 40 = 54. Now we need to multiply 54 by 0.38 to get the cost Samantha has to pay. 54 * 0.38 = 20.52. Finally we need to add the cost of 2 days of renting to the cost of the additional miles. 110 + 20.52 = 130.52. The total that Samantha has to pay for the truck is $130.52
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