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zysi [14]
3 years ago
11

Suppose the discrete random variable X has the probability distribution below:

Mathematics
1 answer:
Talja [164]3 years ago
4 0

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

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What is the value can u show work
Basile [38]
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6 0
3 years ago
If 14x + 5 = 12, what is the value of x?
ser-zykov [4K]
<h3>x = 1/2</h3>

Step-by-step explanation:

14x + 5 = 12

14x = 12 - 5

14x = 7

x = 7/14

x = 1/2

<h3>Hope it helps you!!</h3>
6 0
2 years ago
Write the quadratic equation in standard form for the following equations <br> (7,4);(-2,1);(1,9)
ladessa [460]

Answer:

y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}

Step-by-step explanation:

We need to write a quadratic equation so we can use standard quadratic equation:

y=ax^2+bx+c

Plug the given points to get three equations.

for (7,4), we plug x=7 and y=4

4=a(7)^2+b(7)+c

4=49a+7b+c ...(i)

similarly using other two points, we get:

1=4a-2b+c ...(ii)

9=a+b+c ...(iii)

Now we solve those three equations by any method like substitution, or matrices or by any method and get:

a=-\frac{7}{18},\ b=\frac{41}{18},\ c=\frac{64}{9}

Now plug these values into y=ax^2+bx+c, we get final equation as:

y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}

7 0
4 years ago
Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organiza
rusak2 [61]

Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

4 * 3 * 2 * 1 = 24

Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

7 0
3 years ago
9. 3x + 9y = 18<br> y = x + 2<br> Substitution method
777dan777 [17]

Answer:

x = 0

y = 2

Step-by-step explanation:

3x + 9y = 18 ---------eqn 1

y = x + 2---------eqn 2

Substitute eqn 2 into eqn 1, for the value of y

3x + 9( x + 2) = 18

3x + 9x + 18 = 18

12x + 18 = 18

12x = 18 -18

12x = 0

Divide both sides by 12 , to get the value of x.

12x/ 12 = 0/12

x = 0

Substitute x = 0 into eqn 2

y = x + 2

y = 0 +2

y = 2

Hint: to confirm the values

x = 0

y = 2

Let's take eqn 1 ,

3x + 9y = 18

3(0) + 9(2)

= 0 + 18

= 18

Correct

Let's take eqn 2

y = x + 2

Let's find y

y = 0 + 2

y = 2

Correct too

4 0
3 years ago
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