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A certain delivery service offers both express and
Chapter 2, Problem 26E(choose chapter or problem)
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, 95% 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?
Questions & Answers
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, 95% 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?
ANSWER:
Step 1 of 5:
It is given that,a delivery service offers two type of delivery services, one is standard delivery and the other one is express delivery.
Also it is given that 75% of the parcels are sent by standard delivery and 25% of the parcels are sent by express delivery.
Of the parcels sent by standard delivery,80% arrive the next day and of the parcels sent by express delivery 95% arrive the next day.
Using these data we have to find out the required probabilities.