A machine learning company claims that its classifier correctly differentiates between images of cats and dogs 7 times out of 10. You want to check this claim, an run the company's classifier on your personal set of data that contains 1, 234 images of cats and dogs. Let X; be 1 if the classifier successfully labeled image i and 0 of herwise. Let S = 234 X, be the number of times the classifier was right on your data set. You find empirically that S = 785 with an estimated standard deviation s = 0.48. We further suppose that the classifier guesses are independent. (a) What is the distribution of S? (b) What is the estimated success probability p? (c) What is the 95% confidence interval of the value of p based on the data set X. i=1
A machine learning company claims that its classifier correctly differentiates between images of cats and dogs 7 times out of 10. You want to check this claim, an run the company's classifier on your personal set of data that contains 1, 234 images of cats and dogs. Let X; be 1 if the classifier successfully labeled image i and 0 of herwise. Let S = 234 X, be the number of times the classifier was right on your data set. You find empirically that S = 785 with an estimated standard deviation s = 0.48. We further suppose that the classifier guesses are independent. (a) What is the distribution of S? (b) What is the estimated success probability p? (c) What is the 95% confidence interval of the value of p based on the data set X. i=1
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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