Suppose that a random sample X1, . . . , Xn is to be taken from the uniform distribution on the interval [0, ] and

Suppose that a random sample X1, . . . , Xn is to be taken from the uniform distribution on the interval [0, θ] and that θ is unknown. How large a random sample must be taken in order that
Pr(| max{X1, . . . , Xn} − θ| ≤ 0.1θ ≥ 0.95,
for all possible θ?