A certain delivery service offers both express and standard delivery. Seventy-five percen arcels are sent by standard delivery, and 25% are sent by express. Of those sent standard, 80% ve the next day, and of those sent express, 90% arrive the next day. A record of a parcel delivery osen at random from the company's files. a. What is the probability that the parcel was shipped express and arrived the next day? b. What is the probability that it arrived the next day?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
A certain delivery service offers both express and standard delivery. Seventy-five percent
of parcels are sent by standard delivery, and 25% are sent by express. Of those sent standard, 80%
arrive the next day, and of those sent express, 90% arrive the next day. A record of a parcel delivery
is chosen at random from the company's files.
a. What is the probability that the parcel was shipped express and arrived the next day?
b. What is the probability that it arrived the next day?
c. Given that the package arrived the next day, what is the probability that it was sent express?
Transcribed Image Text:A certain delivery service offers both express and standard delivery. Seventy-five percent of parcels are sent by standard delivery, and 25% are sent by express. Of those sent standard, 80% arrive the next day, and of those sent express, 90% arrive the next day. A record of a parcel delivery is chosen at random from the company's files. a. What is the probability that the parcel was shipped express and arrived the next day? b. What is the probability that it arrived the next day? c. Given that the package arrived the next day, what is the probability that it was sent express?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON