Suppose that a Bayesian spam filter is trained on a set of 2000 spam messages and 1000 messages that are not spam. The word "lifetime" appears in 350 spam messages and 15 messages that are not spam. Would an incoming message be rejected as spam if it contains the word "lifetime" and the threshold for rejecting a message is 0.9? (ON/se

Suppose that a Bayesian spam filter is trained on a set of 2000 spam messages and 1000 messages that are not spam. The word "lifetime" appears in 350 spam messages and 15 messages that are not spam. Would an incoming message be rejected as spam if it contains the word "lifetime" and the threshold for rejecting a message is 0.9? (ON/se

Name: Σ* 00近TQUESTION 8Suppose that a Bayesian spam filter is trained on a
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: Σ* 00近TQUESTION 8Suppose that a Bayesian spam filter is trained on a set of 2000 spam messages and 1000 messages that are not spam. The word"lifetime" appears in 350 spam messages and 15 messages that are not spam. Would an incoming message be rejec

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...

See similar textbooks

Similar questions

They sampled 361 people. People were allowed to self-identify as a heavy smoker or a non-smoker (mutually exclusive outcomes), and as diagnosed with lung cancer or not diagnosed with lung cancer (mutually exclusive outcomes). All surveyed people were under the age of 55, with similar age distributions in the smoking and not smoking categories. 343 people said that they did not smoke, and of those 343 people, 58 had been diagnosed with lung cancer. Only 18 people said that they were heavy smokers, and of those 18, 14 had been diagnosed with lung cancer. Please Calculate the expected count of people for each cell of the contingency table if the standard null hypo of the chi-square test of independent comes out to be true?
Suppose, a dairy farmer wants to compare the amount of milk produced by dairy cattle fed on four different diets. Five cattle are randomly assigned and maintained on each of the diets for a – month period. At the end of the 3 months, each cow's milk production is recorded for a 1-week period. The numbers given in Table below are the ranks of the productivity data. Do the data provide sufficient evidence to indicate that at least one of the diets tends to achieve greater milk production than the others ? Test at the 0.05 level of significance. Diet 1 Diet 2 Diet 3 Diet 4 1 22 14 2 17 3 7 19 11 10 20 13 18 564
Suppose that 6% of a particular population have a particularly nasty disease. There is a test for the disease that correctly identifies those with the disease 98% of the time. However, the same test gives a false positive 1% of the time. Suppose that a random person from this population is given the test as part of a wellness exam. Give answers in decimal form rounded to 4 decimal places as needed. A. Suppose that a random person comes in for a wellness exam and tests positive for the disease. What is the probability that she actually has the disease? B. Suppose that a person comes in for a wellness exam and tests negative. What is the probability that this person does not have the disease? C. What proportion of the total population will test positive? D. What proportion of the total population will not have the disease and will test negative?
In a regression problem with 2 input variables, we construct a classification tree with 4 terminal nodes. This means（multiple choices) There was either four splits in only one of the input variables or one split in each of the input variable. There was a split in one of the input variables and no splits in the other. There was a split in each input variable. There was either a split in each input variable or three splits in only one of the input variables. There were 2 splits in each of the input variables.
A researcher would like to know whether there is a consistent, predictable relationship between verbal skills and math skills for high school students. A sample of 200 students is obtained, and each student is given a standardized English test and a standardized math test. Based on the test results, students are classified as high or low for verbal skills and for math skills. The results are summarized in the foll ng table: High Verbal Low Verbal High Math 59 41 100 Low Math _31 69 100 90 110 200 1. Based on these results, can the researcherconclude that there is a significant relationship between verbal skills andmath skills? Test at the .05 level of significance. 2. State the research hypotheses 3. Identify the critical value 4. Calculate the test statistic 5. Evaluate the null hypothesis
In San Francisco, a sample of 3,264 wireless routers showed that 1,142 used encryption (to prevent hackers from intercepting information). In Seattle, a sample of 1,910 wireless routers showed that 618 used encryption. Specify the decision rule at a= 0.10 Find the test statistic (z calc)
Suppose population 1 consists of all students who picked up all the tests they completed prior to taking the final exam. Suppose population 2 consists of all students who had one or more tests that they completed that were not picked up prior to taking the final exam. Based on years of grading final exams and observing grades, STAT 210 instructors conjecture that the mean final exam grade for all students who picked up all their tests is higher than the mean final exam grade for all students who had one or more tests that were not picked up. A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on the final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed…
64 owners and a similar age group of pet owners. The pet owners are matched one to one with the non-pet owners for income, number of close friendships, and 0. A researcher uses a matched-subjects design to in- than singles without pets. A mood inventory survey vestigate whether single people with pets are happier happier is given to a group of 20- to 29-year-old non-p general health. The data follow: Non-Pet Owner Pet Owner Matched Pair 12 14 8. 10 13 9. 9. D 13 E 10 12 F a. Is there a significant difference in the mood scores for non-pet owners versus pet owners? Test with a = .05 for two tails. b. Construct the 95% confidence interval to estimate the size of the mean difference in mood between the population of pet owners and the population of non-pet owners. (You should find that a mean difference of p, = 0 is an acceptable value, which is consistent with the conclusion from the hypoth- esis test.) %3D D. AB
Table 1 shows the distribution of the opinions of US adults who are married on how long they could go between jobs without any income and still be able to pay all their bills on time. A researcher believes that the distribution of the US adults who are not married is different from those that are married provided in table 1. The researcher randomly selects 250 US adults who are not married and ask them how long they could go between jobs without any income and still be able to pay their bills on time (Table 2). At alpha =0.01, are the distributions different? Table 1 Response Percentage None 33 One month 15 2 months 11 3 months 7 4 months 4 5 months 3 More than 5 months 25 Not sure 2 Total 100 Table 2 Response Frequency, f None 83 One month 46 2 months 37 3 months 11 4 months 9 5 months 7 More than 5 months 52 Not sure 5 What is the P-value?…
Suppose population 1 consists of all students who picked up all the tests they completed prior to taking the final exam. Suppose population 2 consists of all students who had one or more tests that they completed that were not picked up prior to taking the final exam. Based on years of grading final exams and observing grades, STAT 210 instructors conjecture that the mean final exam grade for all students who picked up all their tests is greater than the mean final exam grade for all students who had one or more tests that were not picked up. A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed…
Find the number of ways in which one A, three B’s, two C’s, and one F can be distributed among seven stu-dents taking a course in statistics.
56.5