Remark
The problem with A and B is that one or the other is always possible. So one of them should be your answer.
Comment
This problem depends on whether or not you believe the two statements are connected in some way.
Does he go to the bank to deposit money, or is that the only time he can go to the bank is on the days that he gets paid?
The problem is not clear enough to make a decision. So your answer is either B or D.
I would say your safest choice is D. You don't know for certain what his motivations are.
D <<<<<<< answer.
Answer:

Step-by-step explanation:
Given: A sound wave travels through iron at a rate of 
To find: rate at which the sound wave travel in 
Solution:
Use the following units conversions.


Now convert
into 
Therefore,

a.
is a joint density function if its integral over the given support is 1:


so the answer is yes.
b. We should first find the density of the marginal distribution,
:


Then

or about 0.2019.
For the other probability, we can use the joint PDF directly:

which is about 0.7326.
c. We already know the PDF for
, so we just integrate:
![E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5](https://tex.z-dn.net/?f=E%5BY%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20y%5C%2Cf_Y%28y%29%5C%2C%5Cmathrm%20dy%3D%5Cfrac15%5Cint_0%5E%5Cinfty%20ye%5E%7B-y%2F5%7D%5C%2C%5Cmathrm%20dy%3D%5Cboxed5)
C) The mean Value is closer to the middle of the range than the Median
Hope this helped!
Answer:
y = -2x -7
Step-by-step explanation:
Plug in and Solve.