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
Paperback20 60 80
Hardcover10 30 40
Total30 90 120
Is Miguel's claim correct?
AYes, the two events are independent because $P( NF \mid PB )=P( NF )$.
BYes, the two events are independent because $P(PB \mid NF )=P( NF )$.
CNo, the two events are not independent because $P(PB \mid NF )
eq P(PB)$.
DNo, the two events are not independent because $P(PB \mid NF )
eq P( NF )$.
| Fiction | Nonfiction | Total | |
Paperback | 20 | 60 | 80 |
Hardcover | 10 | 30 | 40 |
Total | 30 | 90 | 120 |
AYes, the two events are independent because $P( NF \mid PB )=P( NF )$.
BYes, the two events are independent because $P(PB \mid NF )=P( NF )$.
CNo, the two events are not independent because $P(PB \mid NF )
DNo, the two events are not independent because $P(PB \mid NF )