Question

air live an In a review of an operations revealed that, historically, the airline had ave mis handled bags per passengers. A "mishandled bag was not seut together passenger's plane, i e, it was either arrived late . 6.42 liggage that * What the chance that 2,000 passengers, the airline more than 11 mishandled the next will have bags? ОХ * After airline's overhauled its computer system his handled decreased by computer system, what the the airline 10 mishandled bags? (Round three decine) consulting company evaluated operations, the air line bag'-monitoring AS result, the number bags 1,000 passengers 30%. Given that heu 7 the probability next 3,000 passengers, have tewer that for will than cround decimal)

Answer 1

Average number of mishandled bags for 2000 passengers = 6.42*2 = 12.84

Let X denote the number of mishandled bags

i) The chance that for the next 2000 passengers, the airline will have more than 11 mishandled bags

= P(X > 11)

= 1 - P(X ≤ 11)

= 1 - poissoncdf(12.84, 11)

= 0.6304

ii) Given the new computer system, average number of mishandled bags for 3000 passengers

= 6.42*0.70*3 = 13.482

The probability that for the next 3000 passengers, the airline will have fewer than 10 mishandled bags

= P(X < 10)

= P(X ≤ 9)

= poissoncdf (13.482, 10)

= 0.2126