Sandy is running a small business working on hand-made accessories. She has a customer, Jenny, who orders different items every day. After receiving Jenny’s order, Sandy packs a parcel for Jenny and makes delivery through the delivery service in her building. The delivery fee of a parcel is calculated based on the weight of the content, which is $0.033 per gram. According to Sandy’s record, the delivery fee of Jenny’s daily parcel follows a normal distribution with mean $66 and standard deviation $12.4. A parcel is classified as a deluxe parcel if the delivery fee is more than $100. It takes 2 working days to deliver a deluxe parcel and 4 working days to deliver the other parcel Instead of delivering Jenny’s parcel every day, Sandy is planning to combine two days’ order and pack Jenny a parcel for every two days. (c) What are the expectation and standard deviation of the delivery fee of the parcels, after combining two days’ order as one parcel? (d)  What is the probability that the parcel would be delivered to Jenny in 2 working days, after combining two days’ order as one parcel? (e)  If you were Jenny, would you like to have the orders combined? Explain your answer briefly by considering when you were likely to receive your first day order for the two cases (i) one parcel each day and (ii) one parcel every two days.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
icon
Related questions
icon
Concept explainers
Topic Video
Question

Sandy is running a small business working on hand-made accessories. She has a customer, Jenny, who orders different items every day. After receiving Jenny’s order, Sandy packs a parcel for Jenny and makes delivery through the delivery service in her building. The delivery fee of a parcel is calculated based on the weight of the content, which is $0.033 per gram. According to Sandy’s record, the delivery fee of Jenny’s daily parcel follows a normal distribution with mean $66 and standard deviation $12.4.

A parcel is classified as a deluxe parcel if the delivery fee is more than $100. It takes 2 working days to deliver a deluxe parcel and 4 working days to deliver the other parcel

Instead of delivering Jenny’s parcel every day, Sandy is planning to combine two days’ order and pack Jenny a parcel for every two days.

(c) What are the expectation and standard deviation of the delivery fee of the parcels, after combining two days’ order as one parcel?

  1. (d)  What is the probability that the parcel would be delivered to Jenny in 2 working days, after combining two days’ order as one parcel?

  2. (e)  If you were Jenny, would you like to have the orders combined? Explain your answer briefly by considering when you were likely to receive your first day order for the two cases (i) one parcel each day and (ii) one parcel every two days.

 

Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning