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devlian [24]
3 years ago
12

Los 75 postulantes que fueron aceptados tuvieron notas desde 16 hasta a 20. Si el grupo se hubiera desempeñado de modo homogéneo

y hubieran tenido todos la misma nota, ¿cuál sería esa nota? 2. Si los estudiantes se agrupan según notas, ¿cuántos grupos se forman? 3. ¿Qué notas tendrían los estudiantes del grupo más grande? 4. Si los estudiantes se ordenan en fila según notas, ¿qué nota tiene el del medio?
Mathematics
1 answer:
joja [24]3 years ago
6 0

Answer:

Tenemos 75 postulantes, y sus notas están en el rango desde 16 hasta 20.

1) si el grupo es homogéneo y todos tienen la misma nota, entonces todos van a tener la nota media en el rango (16, 20)

Para encontrar esta nota calculamos la suma entre ambos extremos y lo dividimos por 2.

Media = (16 + 20)/2 = 36/2 = 18

La nota sería 18.

2) entre 16 y 20 tenemos:

16, 17, 18, 19 y 20

tenemos 5 notas distintas, entonces si agrupamos a los estudiantes por nota, tendríamos 5 grupos.

3) En una distribución normal, el grupo mas grande debería coincidir con la media del intervalo. Ya sabemos que la media es 18, entonces es esperable que la nota del grupo mas grande sea 18.

4) Si los estudiantes se ordenan en fila según notas tendríamos:

Fila con nota 16

fila con nota 17

fila con nota 18

fila con nota 19

fila con nota 20

Podemos ver que la fila del medio es el grupo con nota de 18

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E (X) = 1.8

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Solution:-

- Denote the random variable X : is the number of red marbles that Suzan has in her hand after she selects three marbles.

- Total sample space (bag) have the following quantity of colored marbles:

                Bag : { 3 Red , 2 Green }

- Suzan selects three marbles from the bag. The Event (X) defines the number of red marbles out of 3.

- The total number of outcomes / selections for randomly selecting 3 balls from the bag:

               All outcomes = 5 C 3 = 10

- The probability distribution of the random variable X, we will use combinations to determine the required probabilities:

  X = 1 red marble:

        P ( X = 1 ) : Suzan chooses 1 Red marble from the available 3 red marble and 2 green marbles.

        P ( X = 1 ) = [ 3C1*2C2 ] / all outcomes = (3*1) / 10 = 0.3

X = 2 red marble:

        P ( X = 2 ) : Suzan chooses 2 Red marble from the available 3 red marble and 1 green marbles.

        P ( X = 2 ) = [ 3C2*2C1 ] / all outcomes = (3*2) / 10 = 0.6

X = 3 red marble:

        P ( X = 3 ) : Suzan chooses 3 Red marble from the available 3 red marble.

        P ( X = 3 ) = [ 3C3] / all outcomes = (1) / 10 = 0.1

- The probability distribution is as follows:

          X :         1                 2                3

       P (X):       0.3            0.6              0.1

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- The standard deviation for the given random variable X is:

                σ = √Var(X)

                σ = √0.36

                σ = 0.6

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