The United States Postal Service reports that 90% of first-class mail within the same city is delivered in two days of the time of mailing.  Ten letters are randomly sent to different locations. What is the probability that all 10 will arrive within two days? What is the probability that exactly 8 will arrive within two days? What is the probability that 5 or fewer will arrive within two days?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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The United States Postal Service reports that 90% of first-class mail within the same city is delivered in two days of the time of mailing.  Ten letters are randomly sent to different locations.

  1. What is the probability that all 10 will arrive within two days?
  2. What is the probability that exactly 8 will arrive within two days?
  3. What is the probability that 5 or fewer will arrive within two days?
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