Two classes of objects, named A and B, are possibly shown in some images. If an object belongs to class A, then there is a 30% chance that a feature measurement x has a value m. If an object belongs to class B, there is a 60% chance that a feature measurement x has a value m. We know that there is a 70% chance that the object belongs to class A and 30% of the chance that the object belong to class B in any one image. Arbitrarily looking at an image, we find that the feature measurement value x equals to m. What is the probability that the object in the image belongs to class A? to class B? No image is given for A or B only use the probability method

Two classes of objects, named A and B, are possibly shown in some images. If an object belongs to class A, then there is a 30% chance that a feature measurement x has a value m. If an object belongs to class B, there is a 60% chance that a feature measurement x has a value m. We know that there is a 70% chance that the object belongs to class A and 30% of the chance that the object belong to class B in any one image. Arbitrarily looking at an image, we find that the feature measurement value x equals to m. What is the probability that the object in the image belongs to class A? to class B? No image is given for A or B only use the probability method

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

Question 4
As mentioned in Chapters 2 and 3 (pp. 38 and 81) Steven Schmidt (1994) reported a series of studies examining the effect of humor on memory. In one part of the study, participants were presented with a list containing a mix of humorous and nonhumorous sentences, and were then asked to recall as many sentences as possible. Schmidt recorded the number of humorous and the number of nonhumorous sentences recalled by each individual. Notice that the data consist of two memory scores for each participant. Suppose that a difference score is computed for each individual in a sample of n = 16 and the resulting data show that participants recalled an average of MD = 3.25 more humorous sentences than nonhumorous, with SS = 135. Are these results sufficient to conclude that humor has a significant effect on memory? Use a two-tailed test with α = 0.05. H0: µ = 0; HA: µ ≠ 0 α = 0.05. Two-tailed test à critical area of 0.025 on each side. D.F. = 16-1 = 15. àCritical value of t = 2.13 s2D = 135…
question as per image and "taxi rideship data" as per below:\ X Y 3.05 8 2.6 4 2.15 0 1.85 0 3 1 2.3 3 1.3 0 2.1 0 2 8 3.15 6 2.8 5 2.8 4 3.6 3 1.6 4 2.3 3 2.05 5 3.05 8 2.4 3 2.25 6 2.25 4 2.9 0 2.25 3 1.7 0 3.2 0 1.97 1 1.6 1 2.9 1 2.3 4 2.1 2 1.4 0 3.28 2 2.3 0 2.3 6 2.25 10 2.4 5 3.32 3 2.1 8 3 9 1.6 0 1.85 2 2.28 3 2.2 0 3.28 4 2.35 0 1.55 0 2.1 0 2.15 0 2.3 14 2.2 0 1.6 1 3.15 3 3.2 4 2.7 5 1.9 0 2.5 6 2.6 6 2.1 5 2 5 2.75 0 2.45 3 3.2 10 2.8 7 1.9 0 1.2 0 1.65 0 3.05 0 3.85 5 1.55 0 2.2 1 2.55 1 2.4 1 3.25 3 3.33 2 2.4 5 2.22 0 3.2 3 1.95 6 3.05 7 2.25 6 2.92 3 3.73 4 2.85 4 1.9 0 1.8 0 3.05 8 1.8 0 2.62 0 2.3 9 1.9 0 2.65 0 2.95 8 2.7 5 2.6 2 2.7 5 2.6 0 1.85 0 2.8 6 3.3 5 2.1 4 2.9 5 3 15 2.25 0 2.15 5 2.4 0 1.65 1 1.6 0 2.1 5 2.55 4 2.75 0 2.55 0 2.8 1…
Section 3.0 Brent Perry works as a guide and conservationist for an ornithological tourism company, which is part of an emerging industry catering to birders. He recently surveyed the bird populations in some preserved deciduous woodlands in Northern New Jersey. In particular, he was looking for Baltimore Orioles who surprisingly to some have taken up residence in Jersey elms and maples. On five random visits each along five separate and independent mile-long pathways (Trails A through E), he recorded the following numbers of sightings of Baltimore Orioles: Trail A 8 16 8 12 16 Trail B 1 15 9 8 7 Trail C 22 10 16 10 22 Trail D 19 29 24 29 19 Trail E 16 24 16 24 20 He kept other variables about his bird watching as constant as he reasonably could. He wonders if all five pathways provide comparable opportunities to spot these orange-plumed birds. Help Brent with his analysis by completing the following…
Question 2
Subject Risk Age Blood Pressure Smoker 1. 12 57 152 2 24 67 163 3 13 58 155 4 56 86 177 1 5) Determine using appropriate graphical methods whether older people at a higher 5 28 59 196 risk of stroke ie is there a corelation between age and risk of stroke? 51 76 189 1. 7 18 56 155 1 8 31 78 120 9 37 80 135 1 10 15 78 98 11 22 71 152 12 36 70 173 1. 13 15 67 135 14 48 77 209 1. 15 15 60 199 16 36 82 119 1. 17 8. 66 166 18 34 80 125 1. 19 3 62 117 20 37 59 207 1. 21 13 56 153 22 25 бб 162 23 14 57 156 24 57 85 176 1. 25 29 58 197 26 52 75 188 1 27 19 55 156 1 28 32 77 119 29 38 79 134 1. 30 16 77 99 31 23 70 151 32 37 69 174 1 33 16 66 134 1. 34 49 76 208 1 35 16 59 200 36 37 81 118 1 37 65 167 38 35 79 124 1 39 4 61 118 40 38 58 206 1
You may need to use the appropriate technology to answer this question. A poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who follow at least one sport, followed by baseball at 15%, men's college football at 10%, auto racing at 6%, men's professional basketball at 5%, and ice hockey at 5%, with other sport at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results: Professional Football 113 Baseball 37 Men's College Football 48 Auto Racing 12 Men's Professional Basketball 8 Ice Hockey 19 Other Sports Find the p-value. (Round your answer to four decimal places.) p-value = 107 Do college undergraduate students differ from the general public with regard to their favorite sports? Use a = 0.05. State the null and alternative hypotheses. O Ho: Undergraduate students…
A researcher is interested in examining whether the location that a person lives is related to the number of hours that they spend on the internet each week. The researcher collected data from a sample of 30 participants who were classified in one of three groups: (1) 10 people who live in an urban setting, (2) 10 people who live in a suburban setting, and (3) 10 people who live in a rural setting. Each participant reported the number of hours they spend on the internet in a typical week (the dependent variable). The researcher found the following descriptive statistics: Urban participants reported an average of 8.9 hours of internet use per week with a standard deviation of 2.77. Suburban participants reported an average of 12.7 hours of internet use per week with a standard deviation of 4.88. Rural participants reported an average of 9.8 hours of internet use per week with a standard deviation of 2.82. Using the data that was collected, the researcher found the following: The…
A researcher was interested in finding out whether students’ sense of belonging in a course differed between students attending classes on campus and students attending classes on Zoom. They recruited five students attending classes on campus and five students attending classes on Zoom to test this. Students were asked to complete a survey measuring how much they felt like they belonged in the course. The scale ranged from 0 (not at all) to 10 (very much). Students’ data, which were non-normal, are provided below. Campus Zoom 3 7 2 5 7 4 1 8 6 9 What is your obtained statistic?A) 19.5B) 35.5C) 3D) 10 What is your critical statistic?A) 17B) 19C) 0D) 1 What is your conclusion?A) Students taking the course on campus reported a significantly lower sense of belonging compared to students taking the course on Zoom.B) Students taking the course on campus reported a significantly higher sense of belonging compared to students taking the course on Zoom.C) Sense of belonging…
The table and graph are background information
Section 11.2 Question #4 The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subjected lied or did not lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? View the table Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Polygraph test indicated that the subject lied. 9 48 Polygraph test indicated that the subject did not lie. 30 12 Determine the test statistic. χ2= _________ (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value= ___________ (Round to four decimal places as needed.)
A researcher is interested in the affects that a person’s avatar (i.e. visual representation of oneself) has on the number of profile views on Facebook.com. The average number of individual personal profile views is known to be 230 views per day (excluding bands, artists, etc.). The researcher creates 36 fictitious profiles that contain roughly the same information but the picture (avatar) is an animated .gif of a smiling face (36 faces randomly selected from a compilation of faces judged to be of average attractiveness). The results showed that of the 36 profiles the average number of views was 250 with a standard deviation of 60. Test the hypothesis that the average number of views for a smiling face gif is significantly different than the usual number of personal profile views.