For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
Step-by-step explanation:
Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.
We know that f(10) = 17.
=> A(10)(10 - 5)(10 - 8) = 17
=> A(10)(5)(2) = 17
=> 100A = 17, A = 0.17.
Hence the answer is f(x) = 0.17x(x - 5)(x - 8).
Answer:
13, 16, 18
Step-by-step explanation:
Sabemos que podemos calcular el total de plumas amarillos, por medio de la media.
16 = (12 + 14 + 15 + 24 + x + y + z) / 7
16 * 7 = 12 + 14 + 15 + 24 + x + y + z
112 = 65 + x + y + z
x + y + z = 112-65
x + y + z = 47
sabemos que la mediana es el valor medio, y que ese 46 debe dividirse entre 3 valores porque son 3 cajas, entonces debemos buscar los números adecuados para el valor 15 esté en la mitad, es decir de cuarto.
Sin meter los valores nuevos, el ranking sería así:
12
14
15
24
el 15 esta de tercero, para que quede de cuarto, debe tener dos valores por debajo y un por arriba, así:
X
12
14
15
y
z
24
Por lo tanto, valores mayores a 15 serían por ejemplo y = 16 y z = 18:
16 + 18 = 34
x = 47-34 = 13
quedaría:
12
13
14
15
dieciséis
18 años
24
Si recalculamos la media:
m = (12 + 14 + 15 + 24 + 13 + 16 + 18) / 7 = 16
A: the first answer is the best option
if there is a total of 5000 tickets, and we know there were adults, children, and seniors, then the equation:
c + a + s = 5000 is correct
if we are using c, a, and s as variables for how many children, adults, and seniors were in attendance, then by matching the corresponding price, we should have the equation:
$72000= 10c + 20a + 15s
lastly, if we know the amnt of children in attendance was 3x more than the amnt of seniors, the equation:
3s = c is best because by multiplying the number of seniors in attendance by 3, you will get 3x more children than seniors
hope this helps, and is correct :)!
