Problem on statistical events


Assignment:

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.

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Basic Statistics: Problem on statistical events
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