AnswersConcepts in Probability and Statistics AIndependent and Mutually Exclusive Events

Independent and Mutually Exclusive Events Answers

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All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.

Question illustration
A
StartFraction 11 Over 320 EndFraction
Option A
B
StartFraction 3 Over 80 EndFraction
Option B
C
StartFraction 11 Over 40 EndFraction
Option C
D
Two-fifths
Option D
5

The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table.

Question illustration
A
StartFraction 3 Over 25 EndFraction
Option A
B
StartFraction 7 Over 25 EndFraction
Option B
C
StartFraction 13 Over 25 EndFraction
Option C
D
StartFraction 17 Over 25 EndFraction
Option D
6

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.Why are the events not independent?

A
The sum of P(A) and P(B) is greater than P(A and B).
B
The product of P(A) and P(B) is greater than P(A and B).
C
The product of P(A) and P(B) is not equal to P(A and B).
D
The sum of P(A) and P(B) is not equal to P(A and B).
7

A bag contains eleven equally sized marbles, which are numbered.

Question illustration
A
Two-elevenths
Option A
B
Three-elevenths
Option B
C
Five-elevenths
Option C
D
Six-elevenths
Option D

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