Suppose that we have a sample space

S= {E₁,E₂,E₃,E₄,E₅,E₆,E₇},

where

E₁,E₂,,E₇

denote the sample points. The following probability assignments apply:

P(E₁) =0.20,

P(E₂) =0.05,

P(E₃) =0.15,

P(E₄) =0.25,

P(E₅) =0.20,

P(E₆) =0.05,

and

P(E₇) =0.10.

Let

A	=	{E1,E4,E6}
B	=	{E2,E4,E7}
C	=	{E2,E3,E5,E7},

and answer the following.(a)Find

P(A),

P(B),

and

P(C).

P(A)

=

P(B)

=

P(C)

= (b)Find

AB.

(Enter your answer in set notation.)

AB

=

Find

P(AB).

P(AB)

= (c)Find

AB.

(Enter your answer in set notation.)

AB

=

Find

P(AB).

P(AB)

= (d)Are eventsAandCmutually exclusive?They ---Select--- are are not mutually exclusive.(e)Find

B^C.

(Enter your answer in set notation.)

B^C

=

Find

P(B^C).

P(B^C)

=