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Analyzing a Claim
Is Miguel's claim correct?
The two-way table shows the distribution of book style to
genre. Miguel claims that given that the book is
paperback (PB) does not affect the outcome that the
book is nonfiction (NF).
Fiction
Nonfiction Total
O Yes, the two events are independent because
P(NFPB) = P(NF).
O Yes, the two events are independent because
P(PBINF) = P(NF).
O No, the two events are not independent because
P(PB|NF) # P(PB)
O No, the two events are not independent because
P(PB|NF) + P(NF).
Paperback
20
60
80
Hardcover
10
30
40
Total
30
90
120

Respuesta :

Answer:

Yes, the two events are independent because  P(NF | PB) = P(NF)

Step-by-step explanation:

                     Paperback           Hardcover      Total

Fiction            20                        10                      30    

Nonfiction     60                        30                     90

Total              80                        40                     120

P(NF | PB) = 60/80 = 3/4

P(NF) = 90/120 = 3/4

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