Step-by-step explanation:
The relative frequency can be calculated as the given value of f divided by the total. In this case, the total is 210, so the relative frequency for each vehicle type is
Vehicle type f rf
Cars 150 150/210 = 0.714
Trucks 28 28/210 = 0.133
Buses 6 6/210 = 0.029
Motorcycles 3 3/210 = 0.014
Utilities 18 18/210 = 0.086
Vans 5 5/210 = 0.024
Then, the probabilities are calculated using the relative frequency, so the probability that the next vehicle would be a truck or a van is
P = 0.133 + 0.024 = 0.157
Because 0.133 is the relative frequency for trucks and 0.024 is the relative frequency for vans.
In the same way, the probability to be a bus or a car is
P = 0.029 + 0.714 = 0.743
And the probability not to be a utility is
P = 0.714 + 0.133 + 0.029 + 0.014 + 0.024
P = 0.914
Where we sum the frequencies for all the types except for Utilities.
Answer:
Therefore, the answers are:
1.
Vehicle type f rf
Cars 150 0.714
Trucks 28 0.133
Buses 6 0.029
Motorcycles 3 0.014
Utilities 18 0.086
Vans 5 0.024
2. P = 0.157
3. P = 0.743
4. P = 0.914