Suppose the sample space of Y is a closed interval [0, c] for some 6 > 0, but the value of C is unknown. Now Alice collected an i.i.d. sample {Yin' = 1, ...,n} to estimate c. The estimator she proposed is the maximum among the 11 data points, i.e., E = max{Y1, Y2, , Y2}. Derive whether the bias of this estimator is nonnegative or nonpositive or zero. (You may use the following fact: If a random variable is smaller than or equal to a number with probability one, then its expectation is also smaller than or equal to this number.)