A cubical die has each of the numbers 1 to 6 on one of its six faces. Unlike most such dice, however, this one is not at all fair. In fact, if X represents the number showing on top when the die is rolled, then
for 1 ≤ j ≤ 6, where C is a constant. Find the value of C and Pr(2 ≤ X ≤ 4).
◦ C =
, Pr(2 ≤ X ≤ 4) =
◦ C =
, Pr(2 ≤ X ≤ 4) =
◦ C =
, Pr(2 ≤ X ≤ 4) =
◦ C =
, Pr(2 ≤ X ≤ 4) =
◦ C =
, Pr(2 ≤ X ≤ 4) =