f a student is selected randomly, find the following probabilities: a) P(A₂n B₁) b) P(A₁ U B₁) c) P(A₁|B₁) JY DCD 14 )

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6. Let A₁ and A₂ be the events that a person is left-eye dominant or right-eye dominant,
respectively. When a person folds his or her hands, let B₁ and B₂ be the events that the left
thumb and right thumb, respectively, are on top. A survey in one statistics class yielded the
following table:
A₁
A₂
Totals
B₁
5
14
19
B₂
7
9
16
Totals
12
23
35
If a student is selected randomly, find the following probabilities:
a) P(A₁n B₁)
b) P(A₁ U B₁)
c) P(A₁|B₁)
d) P(B₂|A₂)
e) If the students had their hands folded and you hoped to select a right-eye-dominant
student, would you select a "right thumb on top" or "left thumb on top" student? Explain
why using appropriate probabilities.
Transcribed Image Text:6. Let A₁ and A₂ be the events that a person is left-eye dominant or right-eye dominant, respectively. When a person folds his or her hands, let B₁ and B₂ be the events that the left thumb and right thumb, respectively, are on top. A survey in one statistics class yielded the following table: A₁ A₂ Totals B₁ 5 14 19 B₂ 7 9 16 Totals 12 23 35 If a student is selected randomly, find the following probabilities: a) P(A₁n B₁) b) P(A₁ U B₁) c) P(A₁|B₁) d) P(B₂|A₂) e) If the students had their hands folded and you hoped to select a right-eye-dominant student, would you select a "right thumb on top" or "left thumb on top" student? Explain why using appropriate probabilities.
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