Question: let (Yn) n>=1 be a sequence of i.i.d. random variables with Yn ~ Unif(0,1). Let Mn = max(Y1, Y2, ..., Yn). For any fixed number

let (Yn) n>=1 be a sequence of i.i.d. random variables with Yn ~ Unif(0,1). Let Mn = max(Y1, Y2, ..., Yn). For any fixed number 0 < delta < 1, find P(|Mn-1| > delta}). What is P(|Mn-1| > delta})? Does the sequence (Mn) n>=1 converge in probability to a constant? If yes, enter the value of the constant limit; if no, enter DNE. (Mn) n>=1 = ... Find the CDF FMn(x) for 0 <= x <= 1. FMn(x) = P(Mn <=x) = ... Does (Mn) n>=1 converge in distribution

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