Suppose we have 4 documents. We have also classified 3 messages as normal and 1 as spam. Use Naïve Bayes multinomial to answer the question that follows. Use alpha=1 to avoid zero probabilities. Message Content Classification 1 Chinese Beijing Chinese Normal 2 Chinese Chinese Shanghai Normal 3 Chinese Macao Normal 4 Tokyo Japan Chinese Spam Round your answer to the nearest ten thousand P(Tokyo | Spam)

Suppose we have 4 documents. We have also classified 3 messages as normal and 1 as spam. Use Naïve Bayes multinomial to answer the question that follows. Use alpha=1 to avoid zero probabilities. Message Content Classification 1 Chinese Beijing Chinese Normal 2 Chinese Chinese Shanghai Normal 3 Chinese Macao Normal 4 Tokyo Japan Chinese Spam Round your answer to the nearest ten thousand P(Tokyo | Spam)

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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Please solve the following attached questions in section 4 which is "The project", first section explains the problem which is called "The problem". 1. Plot the ROC and calculate the AUC. 2.Generate 10 random numbers between 0 and 1 rounded to two decimal points. Take these 10 numbers as the probabilities for your patients and plot the ROC and calculate the AUC. Assume the same people as in part (1) get the flu during the flu season. 3. Generate 10 random numbers from the Beta distribution Beta(2, 2) and repeat part (2).
36. Consider all courtroom trials with a single de- fendant who is charged with a felony. Suppose that you are given the following probabilities for this situation. Seventy-five percent of the defendants are, in fact, guilty. Given that the defendant is guilty, there is a 70 percent chance the jury will con- vict the person. Given that the defendant is not guilty, there is a 40 percent chance the jury will convict the person. For simplicity, assume that the only options available to the jury are: to convict or to release the defendant. (a) What proportion of the defendants will be convicted by the jury? 38 (b) Given that a defendant is convicted, what is the probability the person is, in fact, guilty? (c) What is the probability that the jury will make a correct decision? (d) Given that the jury makes an incorrect de- cision, what is the probability that the de- cision is to release a guilty person?
Suppose it is known that in a certain population, 10% of the people are color-blind. If a random sample of 25 people is drawn, construct a table and a bar graph showing the probabilities of all possible outcomes (one person will be color-blind, two people will be color-blind, and so on). What is the R script to execute this problem?
Suppose we know that the probabilities P(A) = .5, P(B|A) = .3 and P(A or B) =.3. What is the value for P(A and B)? What is the value for P(B)?
A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %
104. Two sets of candidates are competing for the positions on the Board of Directors of a company. The probabilities that the first and the second sets will win are O-6 and 0-4 respectively. If the first set wins, the probability of introducing a new product is 0-8 and corresponding probability if the second set wins is 0-3. What is the probability that the product will be introduced ?
please 19a,19b thank you
Suppose we say we wish to convict if there is less than a 1% chance someone is innocent. This means a. There is a 1% chance we say they are guilty when they are actually innocent b. There is a 1% chance they are guilty if they are actually innocent
2) A+udy is made which compares gender with smoking habits. Here are the results: Male Female Non Smoker Light Smoker 60 Heavy Smoker 250 310 70 70 40 Find these probabilities: a) P (Female / Light Smoker) b) P (Light Smoker/ Female) c) P(Male / Smoker) d) P (Male / Female) e) Are gender and smoking habits independent? Explain your answer briefly. Focus 83 12/1
4 If the probability that a communication system will have high fidelity is 0.81 and the probability that it will have high fidelity and selectivity is 0.18, what is the probability that a system with high fidelity will also have high selectivity.
A gambler belives that he has learned to predict the color of a card befroe it is drawn from the deck. In order to test this, he predicts a color, draws a card from a fresh deck of 52 cards and observes its color, replaces the card, and then shuffles.He repeats this process 10 times, and finds that he got 5 predictions incorrect.Using a sign test, test the hypothesis that the gambler is getting fewer predictions inccorect than one would expect due to chance.Critical Value = ?
Please explain your reasoning