The number of claims for missing baggage in a small city for a well-known airline averages nine per day. What is the probability that, on a given day, there will be

Question

a. Fewer than three claims?

b. Exactly three claims?

c. Three or more claims?

d. More than three claims?

Answer 1

For these problems you would utilize the Poisson Distribution.

P(x; μ) = (e^-μ) (μ^x) / x! where x is the actual number of successes that result from the experiment, and e is approximately equal to 2.71828. The mean of the distribution is equal to μ, which in this case equals 9.

For part a) you would need to find P(1; μ) + P(2; μ)

b) you would need to find P(3; μ)

c) the answer would be 1 - the answer for a)

d) the answer would be the answer for c) - P(3; μ)