Hannah is flying from Boston to Denver with a connection in Chicago The probabil

Question

Hannah is flying from Boston to Denver with a connection in Chicago The probability her first flight leaves on time is 0.15 I1 the light is on time, the probabilty that her luggage will make the connecting fight is 0 8, but id the flight rs delayed, the probability that the luggage will make it is only D 65 Suppose you pick her ugi at the Denver aron ind her lugg5 noi is the probabilty that Hannah's first night was delayed 1 P(delayed)= (Do not round urti the inal answer Then round to thiros decima néeded)

Explanation / Answer

probability that luggage is not there =P( flight leaves on time and luggage not there+flight delayed and luggage not there) =0.15*0.2+(1-0.15)*0.35=0.3275

hence P( delayed given luggage not there)=P(flight delayed and luggage not there)/P(luggage not there)

=(1-0.15)*0.35/0.3275=0.9084

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