Question

#525. Weather and Flight Delay Probability Dave travels from Champaign to Chicago often for work. He usually flies from Champaign to Chicago to save time on busy days. Depending on the weather in Chicago, the flight might be delayed. Suppose that there are 3 possible weather conditions in Chicago: sunny, rain, and snow with the corresponding probabilies: 70%, 20%, and 10%. When it is sunny in Chicago, the flight will be on time 70% of the time. But in bad weather conditions such as rain, the flight will be delayed 20% of the time. Even worse, probability of flights being delayed is 50% when it is snowing in Chicago. (Assume that weather is the only factor determining whether a flight is on time or delayed.) 1. What is probability a randomly selected flight from Chicago to Champaign is delayed? You can express your answer as a fraction, decimal, or a percentage. If you asnwer in decimal, include at least 2 NON-ZERO digits after the decimal point. If you answer is a percentage, make sure to include a % sign in your answer. symbolic expression 2. If the flight is delayed, what is the probability that it is snowing in Chicago? You can express your answer as a fraction, decimal, or a percentage. If you asnwer in decimal, include at least 2 NON-ZERO digits after the decimal point. If you answer is a percentage, make sure to include a % sign in your answer.

Answer 1

On Hime 0.7 delay .Sunny 0 3 time o.7 on O-8 O.2 Rain de lany 02 0.1 on time 5 Snow lay 0.7 (0.3) 0.2 (0.2) +0.1(0.s 0-5 de O.21 +0. 4to.0 O.3 3 P( Snow) delay) - (o.1(0. 5) O 3 -0

Please comment if any doubt. Thank you.