Hi

k heres the question

Let u1 , u2 , u3 . . . un, . . . be random variables each with uniform distributions on [0,1]. let Mn = max(u1, u2, . . . , un).

Express the event {Mn<=c} in terms of u1, u2 , ... , un and hence determine the cummulative distribution function Mn. ?

can i do something like this {Mn<=c}={max(u1, u2, . . ., un)<=c}=

{max({u1<=c}, {u2<=c}, . . ., {un<=c}}

I found c.d.f of Mn to be =0 if c<=0

=c if 0<c<1

=1 if 1<=c

but am not confident about this, is any of this ok . . ???

thanks for any help