Question

A review of an airline's operations revealed that, historically, the airline had an average of 6.42 mishandled bags per 1,000 passengers. A "mishandled bag" is luggage that was not sent together with the passenger's plane. i e . it was either lost or arrived late.

what is The chance that for the next 2,000 passengers, the airine will have more than 11 mishandled bags? (round to 3 decimal places)

B) after a consulting company evaluated the airlines's operation. The number of mishandled bags per 1000 passengers decreased by 30% what is the probability that for the next 3000 passengers, the airline will have fewer than 10 mishandled bags is (Round to 3 decimal places)

Answer 1

Answer:

Given Data

a)

Given,

= 6.42 * 2

= 12.84

Poisson distribution P(X) =

P(X > 11) = 1 - P(X <= 11)

= 1 - 0.3696

= 0.6304

b)

= 6.42 - (6.42*30/100)

= 4.494

Now for 3000, = 4.494 * 3

= 13.482

P(X < 10) = P(0) + P(1) + P(2) + ........ + P(9)

= 0.1363

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