Answer:

Step-by-step explanation:
<u>Uniform Distribution</u>
The probability density function PDF of the continuous uniform distribution is:
![p(x)={\begin{cases}{\frac {1}{b-a}}&\mathrm {for} \ a\leq x\leq b,\\[8pt]0&\mathrm {for} \ xb\end{cases}}](https://tex.z-dn.net/?f=p%28x%29%3D%7B%5Cbegin%7Bcases%7D%7B%5Cfrac%20%7B1%7D%7Bb-a%7D%7D%26%5Cmathrm%20%7Bfor%7D%20%5C%20a%5Cleq%20x%5Cleq%20b%2C%5C%5C%5B8pt%5D0%26%5Cmathrm%20%7Bfor%7D%20%5C%20x%3Ca%5C%20%5Cmathrm%20%7Bor%7D%20%5C%20x%3Eb%5Cend%7Bcases%7D%7D)
Where a and b are the lower and upper limits where the probabilities are defined.
a. For our problem a=8.5, b=12, thus b-a=4.5 and the PDF is:
![p(x)={\begin{cases}{\frac {1}{4.5}}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x12\end{cases}}](https://tex.z-dn.net/?f=p%28x%29%3D%7B%5Cbegin%7Bcases%7D%7B%5Cfrac%20%7B1%7D%7B4.5%7D%7D%26%5Cmathrm%20%7Bfor%7D%20%5C%208.5%5Cleq%20x%5Cleq%2012%2C%5C%5C%5B8pt%5D0%26%5Cmathrm%20%7Bfor%7D%20%5C%20x%3C8.5%5C%20%5Cmathrm%20%7Bor%7D%20%5C%20x%3E12%5Cend%7Bcases%7D%7D)
b. We will find the probability that the battery life for an iPad Mini will be 10 hours or less, that is, 
The required probability is computed by using the upper part of the PDF, i.e.


This one is weird,
Y= x+4
f(x)=x+4 (asnwer
I have no idea but I need points
Answer:
1/4
Step-by-step explanation:
Answer:
Answer # 1 and answer #4
Step-by-step explanation:
If line XY is a bisector, it divided the line YW in half, therefore making ZY equal to ZW
Euclids 1st book proposition 13 states that a line standing on another line makes 2 right angles. therefore <YZW is a right angle because that angle plus <WZX must be equal to 180 and line YW splits the angles in half