Answer:
(a) 7.6%
(b) 46.2% 42.4%
Step-by-step explanation:
(a)According to the definition of Continuous probability distribution
![f(x) = \frac{d}{dx}F(x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7DF%28x%29)
![f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7BF%28x%20%2B%20h%29%20-%20F%28x%20-%20h%29%7D%7B%28x%20%2B%20h%29%20-%20%28x%20-%20h%29%7D)
![f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}](https://tex.z-dn.net/?f=f%2869%29%20%3D%20%5Cfrac%7BF%2869%20%2B%200.2%29%20-%20F%2869%20-%200.2%29%7D%7B0.4%7D)
⇒ 0.19 × 0.4 = F(69.2) - F(68.8)
⇒ F(69.2) - F(68.8) = 0.076
⇒ 7.6%
(b) Given F(69) = 0.5
![f(x) = \frac{d}{dx}F(x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7DF%28x%29)
![f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7BF%28x%29%20-%20F%28x%20-%20h%29%7D%7Bx%20-%20%28x%20-%20h%29%7D)
![f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}](https://tex.z-dn.net/?f=f%2869%29%20%3D%20%5Cfrac%7BF%2869%29%20-%20F%2869%20-%200.2%29%7D%7B0.2%7D)
⇒ 0.19 × 0.2 = F(69) - F(68.8)
⇒ F(68.8) = 0.5 - 0.038 = 0.462
⇒ 46.2%
![f(x) = \frac{d}{dx}F(x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7DF%28x%29)
![f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7BF%28x%29%20-%20F%28x%20-%20h%29%7D%7Bx%20-%20%28x%20-%20h%29%7D)
![f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}](https://tex.z-dn.net/?f=f%2869%29%20%3D%20%5Cfrac%7BF%2869%29%20-%20F%2869%20-%200.4%29%7D%7B0.4%7D)
⇒ 0.19 × 0.4 = F(69) - F(68.8)
⇒ F(68.8) = 0.5 - 0.076 = 0.424
⇒ 42.4%
Hi there!
It depends on how many colors of gumballs there are and how many gumballs there are in total. With those, we can set the fraction to each gumball color.
Hope this helps!
Answer:
2 or 4
Step-by-step explanation:
Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.
Answer:
x= 10 In (17)
Step-by-step explanation:
Answer: (x, y) to (x - 3, y - 4)
Step-by-step explanation: i guessed