Answer:
Probability that the flight doesn't arrive on time = 0.2 (to the nearest tenth)
Step-by-step explanation:
90% of the eastbound flights arrive on time, i.e. Pe = 0.9
10% of the eastbound flights do not arrive on time, Qe =1 - 0.9 = 0.1
72% of the westbound flights arrive on time, i.e. Pw = 0.72
28% of the westbound flights do not arrive on time, Qw =1 - 0.72 = 0.28
42% of the airline schedule this morning is westbound (i.e 58% is eastbound)
If a flight is chosen at random:
Probability that it is a westbound flight and it does not arrive on time = 0.28 * 0.42 = 0.1176
Probability that it is an eastbound flight and it does not arrive on time = 0.1 * 0.58 = 0.058
Probability that the flight doesn't arrive on time = 0.1176 + 0.058
Probability that the flight doesn't arrive on time = 0.1756
Probability that the flight doesn't arrive on time = 0.2 (to the nearest tenth)
Answer:
The probability, that a flight does not arrive on time is 18.4%
Step-by-step explanation:
Here we have that;
The percentage of the Eastbound flight that arrive on time = 90%
The percentage of the Westbound flight that arrive on time = 72%
The percentage of Westbound flights the present morning = 42%
Therefore, the percentage of Eastbound flights the present morning = 100% - 42% = 58%
Hence the probability, p, that a flight will arrive on time this morning is given as follows
0.9 × 0.58 + 0.72 × ×0.42 = 0.816
Hence the probability, q, that a flight does not arrive on time = 1 - p
Which gives, q = 1 - 0.816 = 0.184
To convert back to percentage, we multiply by 100 hence;
0.184 × 100 = 18.4%
The probability, that a flight does not arrive on time = 18.4%.
