The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table. Consider the events below. Complete parts a through h. On 0.51 Medium 0.12 Off Low 0.26 0.03 High 0.07 0.01 A: {Medium} C: (Off and Low) B: (Medium or On) D: (High} P(A) = .15 (Type an exact answer in simplified form.) b. Find P(B). P(B) = .73 (Type an exact answer in simplified form.) c. Find P(C). P(C) = .26 (Type an exact answer in simplified form.) d. Find P(D). P(D) = .08 (Type an exact answer in simplified form.) Incorn e. Find P (AC P(AC) = 0.85 (Type an exact answer in simplified form.) f. Find P(AUB). 2) P(AUB) = 0.73 (Type an exact answer in simplified form.) 2) g. Find P(AnC). 1) P(ANC) = (Type an exact answer in simplified form.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in
which the outcomes of each of the two variables are observed. The probabilities associated with each of the six
possible outcome pairs are given in the accompanying two-way table. Consider the events below. Complete parts a
through h.
On
Off
Low
0.51
0.26
Medium 0.12
High
0.03
0.07
0.01
A: {Medium}
C: {Off and Low}
B: {Medium or On}
D: {High}
P(A) = .15 (Type an exact answer in simplified form.)
b. Find P(B).
P(B) = .73 (Type an exact answer in simplified form.)
c. Find P(C).
P(C) = .26 (Type an exact answer in simplified form.)
d. Find P(D).
P(D) = .08 (Type an exact answer in simplified form.)
Incorrec
e. Find P(AC)
P(A©)
= 0.85 (Type an exact answer in simplified form.)
f. Find P(AUB).
2)
P(AUB) = 0.73 (Type an exact answer in simplified form.)
2)
g. Find P(ANC).
1)
P(ANC) =
(Type an exact answer in simplified form.)
Transcribed Image Text:The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table. Consider the events below. Complete parts a through h. On Off Low 0.51 0.26 Medium 0.12 High 0.03 0.07 0.01 A: {Medium} C: {Off and Low} B: {Medium or On} D: {High} P(A) = .15 (Type an exact answer in simplified form.) b. Find P(B). P(B) = .73 (Type an exact answer in simplified form.) c. Find P(C). P(C) = .26 (Type an exact answer in simplified form.) d. Find P(D). P(D) = .08 (Type an exact answer in simplified form.) Incorrec e. Find P(AC) P(A©) = 0.85 (Type an exact answer in simplified form.) f. Find P(AUB). 2) P(AUB) = 0.73 (Type an exact answer in simplified form.) 2) g. Find P(ANC). 1) P(ANC) = (Type an exact answer in simplified form.)
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