statistics

Whenever Toronto has severe snow storm, many flights are delayed and Pearson International Airport has to deploy resources to clear the apron, taxiways and runaways to ensure that the airport continues to remain operational in addition to making sure all the departing aircraft are completely de-iced before they take-off. This is a critical safety measure as aircraft with ice buildup on the wings or the fuselage during take off can be catastrophic. For more information on how aircraft are de-iced at Toronto's Pearson airport, check out this video At the same time, the de-icing operation is extremely time consuming and costly, and must be accurately factored into the forecast of an airport's operation to ensure optimal and safe performance. You are the Operations Manager at Pearson International Airport, and after reviwing the snowfall patterns for the last 10 years, you have determined the following probabilities: . the chance of having a severe snow storm during the winter season is 0.15 . the chance of having major flight delays during the winter season is 0.35 . amongst the days there are major flight delays and disruption during the winter season, 20% of them were days that had severe snow storm According to the local weather forecast, this weekend is expected to bring a severe snow storm. What is the probability that there will be a delay in flights as a result? Show your calculations