Complete the two-way frequency table below, which shows the relationship between student gender and how these students travel to school.
Bus (B) Car (C) Other (O) Total
Male (M) 350 200 75
Female (F) 300 175 100
Total
What is P(M|C), and are the events "the student is male" and "the student travels by car" independent events?
A. 8/15, they are independent because P(M ∩ C) = P(M) ⋅ P(C)
B. 8/25, they are not independent because P(M ∩ C) ≠ P(M) ⋅ P(C)
C. 8/15, they are not independent because P(M ∩ C) ≠ P(M) ⋅ P(C)
D. 8/25, they are not independent because P(M ∩ C) = P(M) ⋅ P(C)
+64 Male Total: 625
Female Total: 575
Bus Total: 650
Car Total: 375
Other Total: 175
P(M|C)(Male people who travel by car)=200
I belive they are independent, as a depended event would be something such as the total amounts of males,etc.
