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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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
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?
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(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.
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