Please show work and write clearly. All parts. Thank you. #7. A delivery service
ID: 3327586 • Letter: P
Question
Please show work and write clearly. All parts. Thank you.
#7. A delivery service offers both express and standard delivery. Eighty percent of parcels are sent by standard delivery, and 20% are sent by express. Of those sent standard, 75% 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 (Q) What is the probability that the parcel was shipped express and arrived the next day 10 , (b) What is the probability lved the next day ? ) (c) Given that the package arrived the next day, what is the probability that it was sent express . Us) F.79 .TOC, D) MNExplanation / Answer
a)probability that parcel was shipped express and arrived the next day =P(express)*P( next day|epress)
=0.2*0.95=0.19
b) probability it arrived next day =P(next day)=P(express)*P( next day|epress)+P(standard)*P( next day|standard)
=0.2*0.95+0.8*0.75=0.79
c) probability it was sent by express given arrived next day =P(express)*P( next day|epress)/P(next day)
=0.2*0.95/0.79 =0.2405
please revert for any clarification required