Question

Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3,...

Suppose that we have a sample space with five equally likely experimental outcomes:

E1, E2, E3, E4, E5.

Let

A

=

{E2, E4}

B

=

{E1, E3}

C

=

{E1, E4, E5}.

(a)

Find

P(A), P(B), and P(C).

P(A)=

P(B)=

P(C)=

(b)

Find

P(A ∪ B).

P(A ∪ B)

(c)

Find

AC. (Enter your answers as a comma-separated list.)

AC =

Find

CC. (Enter your answers as a comma-separated list.)

CC =

Find

P(AC)

and

P(CC).

P(AC)

=

P(CC)

=

(d)

Find

A ∪ BC.

(Enter your answers as a comma-separated list.)

A ∪ BC =

Find

P(A ∪ BC).

P(A ∪ BC)

=

(e)

Find

P(B ∪ C).

P(B ∪ C)

=

Math   Statistics-And-Probability   
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