Consider the situation of Example 10 6 2 (a) Verify that IF(, x) x Icirc frac14 (b) For the median we have T(F) m if P(X curren m) 1 2 or m F 1(1 2) If X F6, show that and thus (c) Show that and complete the argument to calculate IF(M, x) PlXS aje (1 5) F(a) otherwise if F 2(1 T(A) F () otherwise 1 6 2(1 6) 227(m)

Question: Consider the situation of Example 10.6.2. (a) Verify that IF(, x) = x - Î¼. (b) For the median we have T(F) = m if

Consider the situation of Example 10.6.2.
(a) Verify that IF(, x) = x - Î¼.
(b) For the median we have T(F) = m if P(X ‰¤ m) = 1/2 or m = F-1(1/2). If X ~ F6, show that

and thus

and complete the argument to calculate IF(M, x).

PlXS aje (1-5) F(a) + otherwise if>F 2(1- T(A)-F"() otherwise. 1-6 2(1-6) 227(m)

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