X Y Z Total
A45 30 60 135
B20 10 25 55
C25 35 50 110
Total90 75 135 300
Which statement is true about whether $C$ and $Y$ are independent events?
A$C$ and $Y$ are independent events because $P(C \mid Y) = P(Y)$.
B$C$ and $Y$ are independent events because $P(C \mid Y) = P(C)$.
C$C$ and $Y$ are not independent events because $P(C \mid Y)
eq P(Y)$.
D$C$ and $Y$ are not independent events because $P(C \mid Y)
eq P(C)$.
| X | Y | Z | Total | |
A | 45 | 30 | 60 | 135 |
B | 20 | 10 | 25 | 55 |
C | 25 | 35 | 50 | 110 |
Total | 90 | 75 | 135 | 300 |
A$C$ and $Y$ are independent events because $P(C \mid Y) = P(Y)$.
B$C$ and $Y$ are independent events because $P(C \mid Y) = P(C)$.
C$C$ and $Y$ are not independent events because $P(C \mid Y)
D$C$ and $Y$ are not independent events because $P(C \mid Y)