Suppose we have a dataset 0 3 6 which is the realization of a random sample from a distribution function F. If we estimate F by the empirical distribution function, then according to the bootstrap...

Suppose we have a dataset

0 3 6

which is the realization of a random sample from a distribution function F. If we estimate F by the empirical distribution function, then according to the bootstrap principle applied to the centered sample mean X₃
− µ, we must replace this random variable by its bootstrapped version X^∗
_­3
– x^*
₃. Determine the possible values for the bootstrap random variable X¯ ∗ 3 − x¯3 and the corresponding probabilities