Find the marginal density for
by integrating the joint PDF over all possible values of
:


Then the density of
conditioned on
is

for
and undefined elsewhere.
Thus

= = =
I'm not seeing the TeX rendering on any of my browsers. Maybe it's a site-wide issue? In any case, I'm attaching a picture of the text above in case it's incomprehensible.
Answer:
28568 feet
Step-by-step explanation:
Total distance climbed =
14410 + 14158 = 28568 feet
2000 dollars is owed with 9% interest rate.
Now, assuming that for 10 years, it is not being paid.
Let's calculate for the money that is now owed.
=> 2000 dollars * . 09 = 180 dollars for 1 years
=> 180 dollars * 10 years = 1800 dollars
=> 2000 + 1800 = 3800 dollars for 10 years.
Hi!
Let's just take this part by part.
The sum of seven is the first part written. You can deduce from that, that it's 7 + something.
The next part is the quotient of a number x and 8. A quotient is the result of something being divided, so we can figure out that it's x / 8.
Putting it all together, you get the expression as 7 + x / 8.
Hope this helped!