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

Question

Megan is flying from Boston to Denver with a connection in Chicago. The probabilty Suppose you pick her up at the Denver airport and her luggage is not there. What is her first flight leaves on time is 0.25. If the flight is on time, the probability that her luggage will make the connecting flight is 0.85, but if the flight is delayed, the probability that the luggage will make it is only 0.55. the probability that Megan's first flight was delayed? P(delayed) (Do not round until the final answer. Then round to three decimal places as needed.)

Explanation / Answer

probbaility that luggage not there =P(flight leaves on time and luggage not there+flight does not leaves on time and luggage not there)=0.25*0.15+0.75*0.45=0.375

tehrefore probability of delayed given luggage not there

P(delayed)=P(flight does not leaves on time and luggage not there)/P(luggage not there)

=0.75*0.45/0.375=0.9

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