An experiment can result in one of five equally likely simple events, E,. E, . , E,. Events A, B, and C are defined as follows. A: E,. E, P(A) = 0.4 B: E,. E, E,, E, P(®) = 0.8 C: E,, E, P(C) = 0.4 Find the probabilities associated with the following events by listing the simple events in each.
An experiment can result in one of five equally likely simple events, E,. E, . , E,. Events A, B, and C are defined as follows. A: E,. E, P(A) = 0.4 B: E,. E, E,, E, P(®) = 0.8 C: E,, E, P(C) = 0.4 Find the probabilities associated with the following events by listing the simple events in each.
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Problem 1P
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![An experiment can result in one of five equally likely simple events, E,, E,,
E. Events A, B, and C are defined as follows.
A: E E,
P(A) = 0.4
B: E,. E, E, E P(B) = 0.8
C: E, E,
P(C) = 0.4
Find the probabilities associated with the following events by listing the simple events in each.
(a) AC
List the simple events in A".
AC =
Find P(A).
P(A“) = (
(b) ANB
List the simple events in AN B.
ANB =
Find P(A N B).
P(A N B) =
(c) Bnc
List the simple events in BnC.
BNC =
Find P(Bn C).
P(Bn C) =
(d) AUB
List the simple events in AU B.
AUB =
Find P(A U B).
P(A U B) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fdf87a1-6c5c-465d-8ddf-eaf69800c0eb%2F8245c36c-5ade-488e-81e8-8c8f54d14ad7%2Frotomg9_processed.png&w=3840&q=75)
Transcribed Image Text:An experiment can result in one of five equally likely simple events, E,, E,,
E. Events A, B, and C are defined as follows.
A: E E,
P(A) = 0.4
B: E,. E, E, E P(B) = 0.8
C: E, E,
P(C) = 0.4
Find the probabilities associated with the following events by listing the simple events in each.
(a) AC
List the simple events in A".
AC =
Find P(A).
P(A“) = (
(b) ANB
List the simple events in AN B.
ANB =
Find P(A N B).
P(A N B) =
(c) Bnc
List the simple events in BnC.
BNC =
Find P(Bn C).
P(Bn C) =
(d) AUB
List the simple events in AU B.
AUB =
Find P(A U B).
P(A U B) =
![(e) BIC
List the simple events in B|C.
BỊC =
Find P(B|C).
P(B|C) =
(f) A|B
List the simple events in A|B.
A|B =.
Find P(A|B).
P(A|B) = 0.25
(9) AUBUC
List the simple events in A U BUC.
AUBUC=
Find P(A UBU C).
P(A UBUC) =
(h) (AN B)C
List the simple events in (AN B)".
(AN B) =
Find P((A N B)").
P((A N B)) =(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fdf87a1-6c5c-465d-8ddf-eaf69800c0eb%2F8245c36c-5ade-488e-81e8-8c8f54d14ad7%2Fpvdbm1s_processed.png&w=3840&q=75)
Transcribed Image Text:(e) BIC
List the simple events in B|C.
BỊC =
Find P(B|C).
P(B|C) =
(f) A|B
List the simple events in A|B.
A|B =.
Find P(A|B).
P(A|B) = 0.25
(9) AUBUC
List the simple events in A U BUC.
AUBUC=
Find P(A UBU C).
P(A UBUC) =
(h) (AN B)C
List the simple events in (AN B)".
(AN B) =
Find P((A N B)").
P((A N B)) =(
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