Question

Use the table to answer the question.

Arrival Time of Different Types of Transport
Arrival Time
Transport Type On Time Late TOTAL
Car 230 20 250
Bicycle 70 130 200
TOTAL 300 150 450
Let event A
represent a late arrival and event B
represent transportation by car. What would the product of P(A)
and P(B)
need to equal to show that the events are independent? Express the answer as a decimal to the nearest hundredth.

(1 point)

Answer 1

P(A) = 150/450 = 1/3 ≈ 0.33.
P(B) = 250/450 = 5/9 ≈ 0.56.
P(A)P(B) = (1/3)(5/9) = 5/27 ≈ 0.185 → 0.19 (to the nearest hundredth).