Answer: a) 0.0625,0.375,0.1125,0.075 respectively.
b) Yes, they are mutually exclusive
c) 0.4375.
Explanation:
Since we have given that
Number of flights on one route arrived early = 25
Number of flights arrived on time = 150
Number of flights were late = 45
Number of flights were cancelled = 30
Total number = 25+150+150+45+30 = 400
We need to find the probability that a flight is early is given by

Probability that a flight is on time is given by

Probability that a flight is late is given by

Probability that a flight is cancelled is given by

They are mutually exclusive as they have no dependence.
Probability that a flight is either early or on time is given by

Hence, a) 0.0625,0.375,0.1125,0.075 respectively.
b) Yes, they are mutually exclusive
c) 0.4375.