I think that it is about 20 out of 100.
Answer:
a)![- \frac{1}{19}](https://tex.z-dn.net/?f=%20-%20%5Cfrac%7B1%7D%7B19%7D)
b) SD(x) = 0.9986
Step-by-step explanation:
Given data:
Number of slots 38
slots for red ball 18
slots for black = 18
slots for green 2
outcomes Red Black or Green
Profit 1 -1
P(X) 18/38 20/38
Expected value of wining,
![E(x) = 1. \frac{18}{38} + (-1) \frac{20}{38} = - \frac{2}{38} = - \frac{1}{19}](https://tex.z-dn.net/?f=E%28x%29%20%3D%201.%20%5Cfrac%7B18%7D%7B38%7D%20%2B%20%28-1%29%20%5Cfrac%7B20%7D%7B38%7D%20%3D%20-%20%5Cfrac%7B2%7D%7B38%7D%20%3D%20-%20%5Cfrac%7B1%7D%7B19%7D)
B) Standard deviation of winning SD(x)
![SD(x) = \sqrt{(1- (-\frac{1}{19})^2 .\frac{18}{38} + (1- (-\frac{1}{19})^2 .\frac{20}{38}}](https://tex.z-dn.net/?f=SD%28x%29%20%3D%20%5Csqrt%7B%281-%20%28-%5Cfrac%7B1%7D%7B19%7D%29%5E2%20.%5Cfrac%7B18%7D%7B38%7D%20%2B%20%281-%20%28-%5Cfrac%7B1%7D%7B19%7D%29%5E2%20.%5Cfrac%7B20%7D%7B38%7D%7D)
![SD(x) = \sqrt{\frac{360}{361}](https://tex.z-dn.net/?f=SD%28x%29%20%3D%20%5Csqrt%7B%5Cfrac%7B360%7D%7B361%7D)
SD(x) = 0.9986
Step-by-step explanation:
None is better they have the same score in percentage.
Answer:
B. X+6.4<9.9
Step-by-step explanation:
The sum of a number is represented by X. So X and 6.4 is X+6.4. Is less than 9.9, so <9.9. You get X+6.4<9.9.
The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is
![30\times\cfrac{r}{100} = 0.3 r](https://tex.z-dn.net/?f=%2030%5Ctimes%5Ccfrac%7Br%7D%7B100%7D%20%3D%200.3%20r%20)
and similarly, the r% of female is
![20\times\cfrac{r}{100} = 0.2 r](https://tex.z-dn.net/?f=%2020%5Ctimes%5Ccfrac%7Br%7D%7B100%7D%20%3D%200.2%20r%20)
The number of males decreased by this quantity, so now it is
![30 - 0.3r](https://tex.z-dn.net/?f=%2030%20-%200.3r%20)
and the number of female increased by this quantity, so now it is
![20+0.2r](https://tex.z-dn.net/?f=%2020%2B0.2r%20)
we know that these two new counts are the same number, so we can build and solve the equality
![30 - 0.3r = 20+0.2r](https://tex.z-dn.net/?f=%2030%20-%200.3r%20%3D%2020%2B0.2r%20)
Subtract 20 and add 0.3r from both sides:
![10 = 0.5r](https://tex.z-dn.net/?f=%2010%20%3D%200.5r%20)
Divide both sides by 0.5 to solve for r:
![r = 20](https://tex.z-dn.net/?f=%20r%20%3D%2020%20)
Let's check the answer
The 20% of 30 is
, while the 20% of 20 is 4. So, we are stating that
which is true because both expressions evaluate to 24.