a. A certain company sends 40% of its overnight mail

Chapter 3, Problem 103E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

a. A certain company sends 40% of its overnight mail parcels via express mail service \(E_1\). Of these parcels, 2% arrive after the guaranteed delivery time (denote the event "late delivery" by L) . If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via \(E_1\) and was late?

b. Suppose that 50% of the overnight parcels are sent via express mail service \(E_2\) and the remaining 10% are sent via \(E_3\). Of those sent via \(E_2\), only 1% arrive late, whereas 5% of the parcels handled by \(F_3\) arrive late. What is the probability that a randomly selected parcel arrived late?

c. If a randomly selected parcel has arrived on time, what is the probability that it was not sent via \(E_1\)?

Questions & Answers

QUESTION:

a. A certain company sends 40% of its overnight mail parcels via express mail service \(E_1\). Of these parcels, 2% arrive after the guaranteed delivery time (denote the event "late delivery" by L) . If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via \(E_1\) and was late?

b. Suppose that 50% of the overnight parcels are sent via express mail service \(E_2\) and the remaining 10% are sent via \(E_3\). Of those sent via \(E_2\), only 1% arrive late, whereas 5% of the parcels handled by \(F_3\) arrive late. What is the probability that a randomly selected parcel arrived late?

c. If a randomly selected parcel has arrived on time, what is the probability that it was not sent via \(E_1\)?

ANSWER:

Answer : Step 1 : Given A certain company sends 40% of its overnight mail parcels via express mail service E1. Of these parcels, 2% arrive after the guaranteed delivery time. a). A certain company sends 40% of its overnight mail parcels via express mail service E1.Of these parcels, 2% arrive after the guaranteed delivery time Here 40% = 40/100 = 0.4 and 2% = 2/100 = 0.02 So P(certain company sends via E1 ) = 0.4 Then P(arrive late) = 0.02 Both events are independent. P(certain company sends via E1 U arrive late ) Let the probability that the parcel went via E1 and was late. = P(certain company sends via E1) P(arrive late) = (0.4) (0.02) = 0.008 Therefore the probability that the parcel went via E1 and was late is 0.008.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back