Probability

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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. Define event O as a service delivers a package on time.

  1. Calculate P(A and      O).
  2. Calculate the      probability that a package was delivered on time.
  3. If a package was      delivered on time, what is the probability that it was service A?
  4. If a package was      delivered 40 minutes late, what is the probability that it was service B?
  5. If a package was      delivered 40 minutes late, what is the probability that it was service C?
    • a year ago
    • 4
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