**Student Study Habits Analysis****Scenario:**Students have different routines for their study practices. Some opt to study during the morning, while others prefer the evening. Additionally, students either study alone or in groups. The table below represents a survey conducted to understand these habits:**Table Summary:**The table includes data on whether students study alone or in a group, and whether they do so in the morning or evening:- **Study Alone:** - Morning: 7 students - Evening: 9 students- **Study in a Group:** - Morning: 5 students - Evening: 2 students**Task:**If a randomly selected student from the survey needs to be analyzed, determine the probability of the student studying alone in the evening. Express the result as a decimal fraction.**Part 1 of 1:**- Calculate the probability that a student studies in the evening.This information is essential for understanding the correlation between study timing and social study preferences, helping in developing strategic study programs.

Total number of students = 7+9+2+7+5+4 = 34

Answered: Students were surveyed on campus about…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An auto insurance company estimates that 70% of its auto insurance claims involve fraud. An auditor randomly selects 6 claims out of a huge population of claims to review. Use Binomial distribution to find the following probabilities. a. Exactly 4 involves fraud: b. At least 2 involves fraud: c. No more than 1 involves fraud:
The following table gives a two-way classification of all basketball players at a state university who began their college careers between 2004 and 2008, based on gender and whether or not they graduated. Graduated Did Not Graduate Male 126 45 Female 142 39 If one of these players is selected at random, find the following probabilities.Round your answers to three decimal places. P( female and graduated) = Enter you answer; P(female and graduated) P( male and did not graduate) = Enter you answer; P(male and did not graduate)
Next question Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D A B Order Accurate 311 280 235 127 Order Not Accurate 40 58 35 14 If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate. Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events?
In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Students Given Four Quarters Students Given a $1 Bill O.A.0.659 Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. OB.0.675 OC.0.292 Purchased Gum 27 14 OD.0.307 Kept the Money 13 34
A researcher collected data on adult alcohol consumption and marital status. She reported the number of adults in each category. 1- 60 drinks More than 60 drinks O drinks per month Total per month per month Single 20 100 30 150 Married 100 400 150 650 Widowed 10 25 15 50 Divorced 20 80 50 150 Total 150 605 245 1000 An adult is randomly selected from the study. Use this information to find the probabilities requested. Find the following probabilities as fractions. Don't simplify your results. a) What is the probability that a person drinks 1 - 60 drinks per month given that they are divorced? b) What is the probability that a person is divorced given that they drink 1 - 60 drinks per month? c) What is the probability that a person is single given that they have more than 60 drinks per month? d) What is the probability that a person has more than 60 drinks per month given that they are a widow?
In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student chosen randomly from the class did not complete the homework? Passed the test Failed the test Completed the homework 11 7 Did not complete the homework Answer: Submit Answer attempt 4 out of 4 problem 1 out of max 1
In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table: Number tardy: 2 3 4 Probability: 0.17 0.25 0.31 0.21 0.06 What is the expected number of tardies (rounded to two decimal places)?
In the football game it is quite common that players suffer injuries. THE NFL reported several injuries suffered by players, some of them are minor, moderate and major. The following table presents the reported injuries: What is P(G|A)?
An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B)(b) P(F | B)(c) P(B F)(d) P(F)(e) Does P(B F) = P(B) · P(F)? YesNo (f) Are B and F independent events? YesNo
Virtually any process can be improved by use of statistics, including the law. A much publicized case that involved a debate about probability was the Collins case, which began in 1964. An incident of purse snatching in the Los Angeles area led to the arrest of Michael and Janet Collins. At their trial, an "expert" presented the probabilities listed in table below on characteristics possessed by a couple seen running from the crime scene: Characteristics Probability Man with beard 1/10 Blond woman 1/4 1/10 Yellow car Woman with ponytail Man with moustache Interracial couple 1/10 1/3 1/1000 The chance that a couple had all these characteristics together is 1 in 12 million. Because the Collinses had these characteristics, the Collinses must be guilty. Do yo see any problem with this line of reasoning? Hint: The question of interest is not "what is the probability of finding a couple with these characteristics?" because one such couple has been found (the Collinses), the question is "what…
In Alpha College, students are required to join at least one school club to get extra-curriculum activities’ marks.Suppose the following table represents the probability distribution function of the number of clubs (?) astudent join: ? 1 2 3 4 ?(? = ?) 0.1 2? ? + 0.1 ? (a) Find the value of ?.(b) What is the probability that a student joins at most two clubs?(c) Find ?(?), ???(?) and ?(?).(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let ? bethe total membership fee a student pay. Compute ?(?) and ?(?).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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