Suppose you are working on a project that involves using Naive Bayes to classify fruits as either "apple" or "orange" based on their weight and color. You have the following training data: 10 apples and 10 oranges in total The average weight of the apples is 150 grams with a standard deviation of 10 grams The average weight of the oranges is 200 grams with a standard deviation of 15 grams The probability of an apple being red is 0.8, and the probability of an orange being orange is 0.9 Given a new fruit that weighs 180 grams and is red, what is the probability that it is an apple???

Suppose you are working on a project that involves using Naive Bayes to classify fruits as either "apple" or "orange" based on their weight and color. You have the following training data: 10 apples and 10 oranges in total The average weight of the apples is 150 grams with a standard deviation of 10 grams The average weight of the oranges is 200 grams with a standard deviation of 15 grams The probability of an apple being red is 0.8, and the probability of an orange being orange is 0.9 Given a new fruit that weighs 180 grams and is red, what is the probability that it is an apple???

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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One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ, among the general population on this subsection. The website reports that μ is 140, but you have good reason to believe that μ differs from 140. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 146 and that the standard deviation of their scores is 22. Based on this information, complete the parts below. A. What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: B. Suppose you decide to reject the null hypothesis. Would you be making a type I or type II error?