Suppose that we have a sample space S = {E,, E,, Ez, E„, Eg, Eg, E,}, where E,, E, ..., E, denote the sample points. The following probability assignments apply: P(E,) = 0.15, P(E,) = 0.25, P(E,) = 0.20, P(E,) = 0.05, P(E,) = 0.20, P(Ē) = 0.05, and P(E,) = 0.10. Let (E,, Eg, Eg} B = {E,, E, E,} C = {E,, Ez, Eg, E,}. A = %3D (a) Find P(A), P(B), and P(C). P(A) = P(B) P(C) = (b) Find AUB. (Enter your answer in set notation.) AUB = Find P(A U B). P(A U B) = (c) Find An B. (Enter your answer in set notation.) An B = Find P(A n B). P(A n B)

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Suppose that we have a sample space S = (E,, E,, E, E, Eg, Eg, E,}, where E,, E,, .., E, denote the sample points. The following probability assignments
apply: P(E,) = 0.15, P(E,) = 0.25, P(E,) = 0.20, P(E,) = 0.05, P(E,) = 0.20, P(E) = 0.05, and P(E,) = 0.10. Let
(E,, E4, Eg)
B = {E2, E4 E,}
C = {E2, E3, Es, E,}.
A =
1'
(a) Find P(A), P(B), and P(C).
P(A)
=
P(B)
P(C) =
(b) Find A U B. (Enter your answer in set notation.)
AUB =
Find P(A U B).
P(A U B) =
(c) Find An B. (Enter your answer in set notation.)
AnB =
Find P(A n B).
P(A n B) =
(d) Are events A and C mutually exclusive?
They
--Select-- V mutually exclusive.
(e) Find BC. (Enter your answer in set notation.)
BC =
%3D
Find P(BC).
P(B) =
Transcribed Image Text:Suppose that we have a sample space S = (E,, E,, E, E, Eg, Eg, E,}, where E,, E,, .., E, denote the sample points. The following probability assignments apply: P(E,) = 0.15, P(E,) = 0.25, P(E,) = 0.20, P(E,) = 0.05, P(E,) = 0.20, P(E) = 0.05, and P(E,) = 0.10. Let (E,, E4, Eg) B = {E2, E4 E,} C = {E2, E3, Es, E,}. A = 1' (a) Find P(A), P(B), and P(C). P(A) = P(B) P(C) = (b) Find A U B. (Enter your answer in set notation.) AUB = Find P(A U B). P(A U B) = (c) Find An B. (Enter your answer in set notation.) AnB = Find P(A n B). P(A n B) = (d) Are events A and C mutually exclusive? They --Select-- V mutually exclusive. (e) Find BC. (Enter your answer in set notation.) BC = %3D Find P(BC). P(B) =
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