Question

USA Today reported that for all airlines, the number of lost bags was as follows.

May: 5.60 per 1000 passengers      December: 12.75 per 1000 passengers

What is λ to the nearest tenth?
5.60

(b) In the month of May, what is the probability that out of 1000 passengers, no bags are lost, that 3 or more bags are lost, and that 6 or more bags are lost? (Use 4 decimal places.)

P(0)	.0037
P(r ≥ 3)
P(r ≥ 6)

(c) In the month of December, what is the probability that out of 1000 passengers, no bags are lost, that 6 or more bags are lost, and that 12 or more bags are lost? (Round λ to the nearest tenth. Use 4 decimal places.)

P(0)
P(r ≥ 6)
P(r ≥ 12)

Answer 1

b)

for we know that P(X=x)=e^-λ λ^x/x!

therefore

P(0)	0.0037
P(r ≥ 3)	0.9176
P(r ≥ 6)	0.4881

c)

here λ =12.8

P(0)	0.0000
P(r ≥ 6)	0.9878
P(r ≥ 12)	0.6262