Answer:
![P=\frac{5}{16}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B5%7D%7B16%7D)
Step-by-step explanation:
For a uniform distribution we have to:
for x∈ (a, b)
for ![x\leq a](https://tex.z-dn.net/?f=x%5Cleq%20a)
for ![x\geq b](https://tex.z-dn.net/?f=x%5Cgeq%20b)
In this case we have to:
a = 25 min and b = 105 min
We want to find:
![P (40 \leq X \leq 65)](https://tex.z-dn.net/?f=P%20%2840%20%5Cleq%20X%20%5Cleq%2065%29)
Then
![P (x_1 \leq X \leq x_2) = P(X \leq x_2) - P(X \leq x_1)](https://tex.z-dn.net/?f=P%20%28x_1%20%5Cleq%20X%20%5Cleq%20x_2%29%20%3D%20P%28X%20%5Cleq%20x_2%29%20-%20P%28X%20%5Cleq%20x_1%29)
![P (x_1 \leq X \leq x_2)= \frac{x_2 -x_1}{b-a}](https://tex.z-dn.net/?f=P%20%28x_1%20%5Cleq%20X%20%5Cleq%20x_2%29%3D%20%5Cfrac%7Bx_2%20-x_1%7D%7Bb-a%7D)
In this case:
![x_2 = 65\\\\x_1=40](https://tex.z-dn.net/?f=x_2%20%3D%2065%5C%5C%5C%5Cx_1%3D40)
Therefore:
![P (40 \leq X \leq 65)=\frac{65 -40}{105-25}](https://tex.z-dn.net/?f=P%20%2840%20%5Cleq%20X%20%5Cleq%2065%29%3D%5Cfrac%7B65%20-40%7D%7B105-25%7D)
![P (40 \leq X \leq 65)=\frac{25}{80}](https://tex.z-dn.net/?f=P%20%2840%20%5Cleq%20X%20%5Cleq%2065%29%3D%5Cfrac%7B25%7D%7B80%7D)
![P (40 \leq X \leq 65)=\frac{5}{16}](https://tex.z-dn.net/?f=P%20%2840%20%5Cleq%20X%20%5Cleq%2065%29%3D%5Cfrac%7B5%7D%7B16%7D)
Answer:
Qestion 1: First option.
Question 2: It's actually false, because we know that Eugene doesn't want to spend any more than 5, so 5 goes where the last x is.
Question 3: Last option.
Question 4: The order it's in seems correct, but I'm not 100% sure.
Step-by-step explanation:
Please don't be mad if it ends up being wrong, I tried. Hope you pass :)
Answer:
25 years
Step-by-step explanation:
To find the mean you need to find the sum of all numbers and divide by the number of terms there are.
In this case you would need to multiply the mean ages by the number of people used to find the mean:
35 * 3 = 105
23 * 12 = 276
Then add the total ages together:
105 + 276 = 381
Then divide by the number of total people in the office:
12 + 3 = 15
381/15 = 25.4
rounded to 25
Answer:
360 - 60 = 300
x = 300
Step-by-step explanation: