Question

Newark liberty airport is a very busy airport. Continental airlines is one of the largest carriers at the airport. Their on-time rate is not bad but predicated on the weather. On a specific day the weather forecast is predicting snow conditions with probability of 25%, rain condition with 35% probability and cloudy but no precipitation with a 40% probability. If it snows there is an 83% probability the flight will be late, 75 % probability the flight is late if it rains and a 40% probability it is late under cloudy but no precipitation conditions. It is a rainy day, what is the probability the continental flight is late ?

21%
33%
41%
63%

Answer 1

To find the probability that the Continental flight is late on a rainy day, we need to use the given probabilities and calculate the conditional probability. The probability that the Continental flight is late on a rainy day is 75%.

Step-by-step explanation:

To find the probability that the Continental flight is late on a rainy day, we need to use the given probabilities and calculate the conditional probability. According to the information provided, the probability of rain is 35% and the probability of the Continental flight being late given rain is 75%. The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

Using the formula, the conditional probability of the Continental flight being late when it is raining is:

P(Late|Rain) = P(Late and Rain) / P(Rain) = (0.75 * 0.35) / 0.35 = 0.75

Therefore, the probability that the Continental flight is late on a rainy day is 75%.