Out of Control probability Questions

I need help finding these probabilities. I have no idea where to start. I have no idea which equations to use. If it helps i included the data i used at the bottom.

The xbar = 31.30, the UCL = 54.66, and the LCL = 7.95

Find the probability of each of these types of "out-of-control" signals, when the process is really under control:

1 point > 3 SD from center line (either side)

9 points in a row on same side of center line

2 out of 3 points > 2 SD from center line (same side)

4 out of 5 points > 1 SD from center (same side)

15 points in a row within 1 SD of center (either side)

8 points in a row > 1 SD from center line (either side)

Tim Thomas Saves Per Game 2/11 - 5/14

15

36

28

29

28

28

39

45

41

22

31

24

28

32

31

25

32

32

20

26

36

38

45

27

37

34

54

38

23

33