A company sends 40% of its overnight mail parcels by means of express mail service A 1 . Of these parcels, 6% arrive after the guaranteed delivery time. Suppose that 50% of the overnight parcels are...


A company sends 40% of its overnight mail parcels by means of express mail serviceA
1. Of these parcels, 6% arrive after the guaranteed delivery time.

Suppose that 50% of the overnight parcels are sent by means of express mail serviceA
2 and the remaining 10% are sent by means ofA
3. Of those sent by means ofA
2, only 1% arrived late, whereas 5% of the parcels handled byA
3 arrived late.


(a)


What is the probability that a randomly selected parcel arrived late? (Hint: A tree diagram should help.)


(b)


Suppose that a randomly selected overnight parcel arrived late. What is the probability that the parcel was shipped using mail serviceA
1? That is, what is the probability ofA
1 givenL, denoted
P(A1|L)?

(Round your answer to three decimal places.)

What is
P(A2|L)?

(Round your answer to three decimal places.

What is
P(A3|L)?

(Round your answer to three decimal places.)







Jun 07, 2022
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