At a miniature golf course, players record the strokes required to make each hole. If the ball is not in the hole after five strokes, the player is to pick up the ball and record six strokes. The owner is concerned about the flow of players at hole 7. (She thinks that players tend to get backed up at that hole.) She has determined that the distribution function of X, the number of strokes a player takes to complete hole 7 to be the following 0 x < 1
0.10 1<= x <2
0.15 2<= x <3
0.30 3<= x <4
0.75 4<= x <5
0.85 5<= x <6
1 x > = 6

Required:
a. Graph the distribution function of X .
b. Find the probability function of X .
c. Graph the probability function of X .
d. Based on (a) through (c), are the owner’s concerns substantiated?