A sample of 400 cars is classified by fuel type and by whether the CO2 _2\,2 emission is above 200 g/km. The table below is incomplete.
| CO2 _2\,2 above 200 g/km | CO2 _2\,2 at most 200 g/km | Total | |
|---|---|---|---|
| Diesel | 160 | ||
| Petrol | 180 | ||
| Total | 120 | 400 |
One of these 400 cars is selected at random. The event D D\,D is that the car is diesel, and the event H H\,H is that its CO2 _2\,2 emission is above 200 g/km.
Complete the table.
Find P(D∩H′)P(D \cap H')P(D∩H′).
Find P[(D∪H)′]P\left[(D \cup H)'\right]P[(D∪H)′].
Determine whether D D\,D and H H\,H are independent.