No !part a) would be something like..
Fm = P(m <= x)
= 1 - P(m > x)
= 1 - Fx
It is said that if M>x, then ,
Since the Xi's are independent, you can write this as a product :
Since they follow the same distribution, this is :
Hence we get :
True ! But it's a bit more complicated for the details (not much, don't worry)I think part b) is just, Fx = integral of fx(x), and you'll get an expression for Fx..
And be careful, it's sometimes confusing if the dummy variable of the integral has the same name as one of the boundaries.
Note that the density function is only defined for t>0.
So if x<0, the integral is 0.
If x>0, the integral is
Can you understand why ?
(don't forget to substitute with the value you're given)