Please show work and write clearly. All parts. Thank you. #7. A delivery service

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) MN

Explanation / 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

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