Fora continuousdistribution,explainwhythenumberofobservationsthatfallbelowthe populationmedianhasabinom(n, 0.50) distribution.Ifweordertheobservationsinmagnitude, giving the orderstatistics Y(1) ≤ Y(2) ≤ ⋯ ≤ Y(n), explainwhytheprobabilityisabout0.95that the interval (Y(a), Y(b)) containsthemedian,where a ≈ n~2−1.96

»

n~4 and b ≈ n~2+1.96

»

n~4.

So, (Y(a), Y(b)) is an approximate95%confidenceintervalforthemedian.Forthelibrary example in Section 4.6.2, findthisintervalforthemedianofthedistributionof P.