Question

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

Answer 1

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

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