Suppose an influenza epidemic strikes a city. In 12.5% of families the mother has influenza; in 12.5% of families the father has influenza; and in 4% of families both the mother and father have influenza. Let 4 be the event defined as: Aj = {mother has influenza} Let A, be the event defined as: A, = {father has influenza} v What is the probability of A, NA2? A. 0.32 B. 0.25 vof Az UAz? v What is the value of P(A, JA2)? What is the probability of, C. 0.04 D. No, because P(A,|A2) = P(A1) Are the events A, and Az independent? E. 0.21 F. Yes, because P(A1 NA2) = P(A1) (A2) G. No, because P(A, NA2) = P(A1) (A2) H. 0.125

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Suppose an influenza epidemic strikes a city. In 12.5% of families the
mother has influenza; in 12.5% of families the father has influenza;
and in 4% of families both the mother and father have influenza.
Let 4 be the event defined as: A = {mother has influenza}
Let A, be the event defined as: A, = {father has influenza}
What is the probability of A, NA2?
A. 0.32
B. 0.25
v What is the probability of A, UA,?
What is the value of P(A1|A2)?
C. 0.04
D. No, because P(A1|A2) = P(A1)
Are the events A, and A, independent?
E. 0.21
F. Yes, because P(A, NA2) = P(A;) (A2)
G. No, because P(A, NA2) = P(A,) (A2)
H. 0.125
Transcribed Image Text:Suppose an influenza epidemic strikes a city. In 12.5% of families the mother has influenza; in 12.5% of families the father has influenza; and in 4% of families both the mother and father have influenza. Let 4 be the event defined as: A = {mother has influenza} Let A, be the event defined as: A, = {father has influenza} What is the probability of A, NA2? A. 0.32 B. 0.25 v What is the probability of A, UA,? What is the value of P(A1|A2)? C. 0.04 D. No, because P(A1|A2) = P(A1) Are the events A, and A, independent? E. 0.21 F. Yes, because P(A, NA2) = P(A;) (A2) G. No, because P(A, NA2) = P(A,) (A2) H. 0.125
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