A sample of three calculators is selected from a manufacturing line, and each calculator is classified as either defective or acceptable. Let A, B, and C denote the events that the first, second, and third calculators, respectively, are defective. Sample space for this experiment could be described with a tree diagram. Let "d" denote a defective calculator and let "a" denote an acceptable calculator. calculator 1 d/ calculator 3 calculator 2 S = {ddd, add, dda, ada, dad, aad, daa, aaa} d

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A sample of three calculators is selected from a manufacturing line, and each calculator is classified as either defective or acceptable.
Let A, B, and C denote the events that the first, second, and third calculators, respectively, are defective. Sample space for this
experiment could be described with a tree diagram.
Let "d" denote a defective calculator and let "a" denote an acceptable calculator.
calculator 1
d
a
calculator 3
d
_calculator 2
d/
S = {ddd, add, dda, ada, dad, aad, daa, aaa}
d
d/
a
Transcribed Image Text:A sample of three calculators is selected from a manufacturing line, and each calculator is classified as either defective or acceptable. Let A, B, and C denote the events that the first, second, and third calculators, respectively, are defective. Sample space for this experiment could be described with a tree diagram. Let "d" denote a defective calculator and let "a" denote an acceptable calculator. calculator 1 d a calculator 3 d _calculator 2 d/ S = {ddd, add, dda, ada, dad, aad, daa, aaa} d d/ a
(a) Use the tree diagram to describe event A:
O A {ada, dda, ddd, add}
O A =
{add, ada, aad, aaa)
O A =
{ddd, dda, dad, daa}
O A =
{ddd, add, dad, aad}
(b) Use the tree diagram to describe event B:
OB = {dda, ddd, dad, ada}
OB = {daa, dda, ddd, dad}
OB= {ada, add, dda, ddd}
OB = {aaa, aad, daa, dad}
(c) Use the tree diagram to describe event A n B:
O AnB = {ddd, dda, daa, dad, ada, add}
O An B =
{ddd, dad, daa, dda, aad, add}
O AnB =
{dda, ddd}
O AnB = {add, ddd}
(d) Use the tree diagram to describe event B U C:
OBUC= {add, ddd}
OBUC {ddd, dad, ada, dda, aad, add}
OBUC = {dda, ddd}
OBUC = {ddd, dda, daa, dad, ada, add}
Transcribed Image Text:(a) Use the tree diagram to describe event A: O A {ada, dda, ddd, add} O A = {add, ada, aad, aaa) O A = {ddd, dda, dad, daa} O A = {ddd, add, dad, aad} (b) Use the tree diagram to describe event B: OB = {dda, ddd, dad, ada} OB = {daa, dda, ddd, dad} OB= {ada, add, dda, ddd} OB = {aaa, aad, daa, dad} (c) Use the tree diagram to describe event A n B: O AnB = {ddd, dda, daa, dad, ada, add} O An B = {ddd, dad, daa, dda, aad, add} O AnB = {dda, ddd} O AnB = {add, ddd} (d) Use the tree diagram to describe event B U C: OBUC= {add, ddd} OBUC {ddd, dad, ada, dda, aad, add} OBUC = {dda, ddd} OBUC = {ddd, dda, daa, dad, ada, add}
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