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Three messenger services deliver to a small town in Oregon. Service A has 60% of

ID: 2922081 • Letter: T

Question

Three messenger services deliver to a small town in Oregon. Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%. Their on-time rates are 80%, 60%, and 40% respectively a. What proportion of the packages in the town are delivered on time? b. A package arrived on time. What is the probability it was delivered by service B2 c. A package arrived on time. What is the probability it was delivered by service A? d. You give your package to service C. What is the probability it'll be delivered late? e. What proportion of the packages in the town are delivered late?

Explanation / Answer

4) Solution:- The probability of selecting three packages that are overweight is 0.000422.

The probability that one package is overweight = 7.5/100 = 0.075

The probability of selecting three packages that are overweight = 0.075 × 0.075 × 0.075

The probability of selecting three packages that are overweight is 0.000422.

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