There are two varieties of cucumbers - C1 and C2 which have different distributions of length. The joint probability density function of the length of the cucumber and category 1 is denoted by p(x, C1), and is a uniform distribution over the range (10cm, 30cm). Similarly p(x, C2) is a uniform distribution over the range (20cm, 50cm). What is the error of classification we will make if we assert that all cucumbers of length less than 25cm are of Variety C1 and all cucumbers of length greater than 25cm are of Variety C2?.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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There are two varieties of cucumbers - C1 and C2 which have different distributions of length. The joint probability density function of the length of the cucumber and category 1 is denoted by p(x, C1), and is a uniform distribution over the range (10cm, 30cm). Similarly p(x, C2) is a uniform distribution over the range (20cm, 50cm). What is the error of classification we will make if we assert that all cucumbers of length less than 25cm are of Variety C1 and all cucumbers of length greater than 25cm are of Variety C2?.

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