Study guide, I want to make sure I got this question right

(3) Suppose X has the cdf Show your work in part (a); and circle the correct answer in each of parts (b), (c), (d): (B)- (a) Draw the graph of F(:c). (b) Note: on is a median for X if P(X S m) 2 1/2 and P(X 2 m) 2 1/2. The median for X is equal to 0, 1/2, 2/3. (c) P(X2 > 1/4) = 1/2, 1/3, 1/6. ((1) The probability distribution for X is (i) discrete; (ii) continuous; (iii) neither discrete nor continuous. (e) Does X have atoms? If yes, give the probability at each atom: o X has no atoms; 0 a: = 0 is an atom for X with probability 1/6; 0 X has innitely many atoms