I have my work at the bottom but to explain you have to divide 30/12, and I got 2.5. That means 30 is 2.5 times bigger than 12. Because we have to find x, we have to divide 7/2.5, to find what is 2.5 times smaller than 7. That’s 2.8. So, x= 2.8
1/2 of 2 means you're taking a half of 2. Which 1.
a)
has CDF


where the last equality follows from independence of
. In terms of the distribution and density functions of
, this is

Then the density is obtained by differentiating with respect to
,

b)
can be computed in the same way; it has CDF


Differentiating gives the associated PDF,

Assuming
and
, we have


and


I wouldn't worry about evaluating this integral any further unless you know about the Bessel functions.
This is truly a simple, one-step equation if looked at in the right angle.
You're going to want to multiply 115 by .952:
115
<u> x .952
</u> 230
+ 6050
<u>+ 93500
</u> 109.48
$109.48 is your final answer.