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In: Statistics and Probability

a review of an airlines operation revealed that historically the airline had an average of 6.42...

a review of an airlines operation revealed that historically the airline had an average of 6.42 mishandled bags per 1.000 passengers . " A mishandled bag" is luggage that was sent together with the passengers plane . it was either lost or arrived late.
a. what is the chance that for the next 2000 passengers , the airline will have more than 11 mishandled bags ?
b. after a consulting company evaluated the airlines operations the airline overhauled its bag monitoring computer system. as a result the number of mishandled bag per 1000 passengers decreased by %30 . given that computer system what is the probability that for the next 3000 passengers the airline will have fewer than 10 mishandled bags ?

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