Problem 2) The probability that an algorithm fails to give the correct answer is 1/100. 500 different data sets are run using this algorithm. i. What is the probability that the algorithm will give the correct answer using all data sets? a) Use the binomial distribution. b) Use the Poisson approximation. What is the probability that the algorithm will get at least one data set will get the wrong answer? ii. a) Use the binomial distribution. b) Use the Poisson approximation. iii. What is the probability that the algorithm will give the wrong answer in no more than five data sets? a) Use the binomial distribution. b) Use the Poisson approximation.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Problem 2)** The probability that an algorithm fails to give the correct answer is 1/100. 500 different data sets are run using this algorithm.

i. **What is the probability that the algorithm will give the correct answer using all data sets?**
   a) Use the binomial distribution.
   b) Use the Poisson approximation.

ii. **What is the probability that the algorithm will get at least one data set wrong?**
   a) Use the binomial distribution.
   b) Use the Poisson approximation.

iii. **What is the probability that the algorithm will give the wrong answer in no more than five data sets?**
   a) Use the binomial distribution.
   b) Use the Poisson approximation.
Transcribed Image Text:**Problem 2)** The probability that an algorithm fails to give the correct answer is 1/100. 500 different data sets are run using this algorithm. i. **What is the probability that the algorithm will give the correct answer using all data sets?** a) Use the binomial distribution. b) Use the Poisson approximation. ii. **What is the probability that the algorithm will get at least one data set wrong?** a) Use the binomial distribution. b) Use the Poisson approximation. iii. **What is the probability that the algorithm will give the wrong answer in no more than five data sets?** a) Use the binomial distribution. b) Use the Poisson approximation.
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