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)
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...
icon
Related questions
Question

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?.

Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON