odf1 / 1153%A machine learning company claims that its classifier correctly differentiates betweenimages of cats and dogs 7 times out of 10. You want to check this claim, and run thecompany's classifier on your personal set of data that contains 1, 234 images of catsand dogs. Let X; be 1 if the classifier successfully labeled image i and 0 o 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 =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 X1,X2,(d) Is there statistically significant evidence that 0.7 is not a correct estimate for thetrue probability of success of the classifier? Do you think it indicates that themachine learning company oversold its product?i%3D10.48. We%3DX 1234?

Let Xi be 1 if the classifier successfully labeled image i and 0 otherwise, S= 785 s = 0.48

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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Question

odf
1 / 1
153%
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, and 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 o 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 =
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 X1,
X2,
(d) Is there statistically significant evidence that 0.7 is not a correct estimate for the
true probability of success of the classifier? Do you think it indicates that the
machine learning company oversold its product?
i%3D1
0.48. We
%3D
X 1234?

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