A courier service claims that only 5 % of all its deliveries arrive late. Assuming deliveries are independent, a sample of 10 deliveries is randomly selected. What is the probability that exactly 2 of the sample deliveries arrive late? What is the probability that more than 2 of the sample deliveries arrive late? Find the expected value and standard deviation.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A courier service claims that only 5 % of all its deliveries arrive late. Assuming deliveries are independent, a sample of 10 deliveries is randomly selected.

  1. What is the probability that exactly 2 of the sample deliveries arrive late?
  2. What is the probability that more than 2 of the sample deliveries arrive late?
  3. Find the expected value and standard deviation.
  4. d) In this question, what would be the probability of having the first delay in the 10th delivery?
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