Statistics

12) The physical science degrees conferred by a school between 1992 and 1995 were broken down as follows:
Major Male Female Totals
Physics         25     25              50  
Chemistry     60 40 100
Geology         30     20         50  
Totals         115     85       200

Suppose a person is selected at random from these graduates.  Consider the following events:
M:   The person is a male.
F:    The person is a female.
P:    The person graduated in physics.
C:    The person graduated in chemistry.
G:    The person graduated in geology.
Find:
a) P(M)
b) P(M|P)
c) P(C and F)
d) P(C|F)
e) P(C and G)
f) P(C or G)
g) Are events C & F independent?  Give a reason for your answer.