any help please

4. Let Fx be a CDF that admits a strong median m. What makes m a median is that Fx(m) = = (half of the probability is before it and half is after it, we saw this first in HW5 P1). What makes it a strong median is that Fx(x) is not flat at x = m. This is to avoid nearby points to also look like medians. We'll simplify and assume that, near m, Fx looks like a line with slope s > 0: when & > 0 is small enough assume Fx(m + z) = 7 + se and Fx(m -E) = 2 - SE . In what follows, assume n is even. Let X1, X2, . .. , Xn be i.i.d. samples from (i.e. random variables with) CDF Fx. Let's put these samples in increasing order, like so: X ( 1) 0} = {N 0: . {Ln m+ :} = {N nc)