2) The table below shows the results of some random high school students about their pets. Own a Dog Do not own a Dog Total Own a Cat 25 16 Do not own a Cat 17 9 Total a) Take the values from the two-way table above and put them in the following Venn Diagram. Be sure to label the circles. b) Suppose that we randomly choose a student. Find the following probabilities. Pr(Own a dog) = Pr(Own a cat) = Pr(not owning a dog) = Pr(not owing a cat) = Pr(own a dog and not a cat) = Pr(own a cat and not a dog) =

2) The table below shows the results of some random high school students about their pets. Own a Dog Do not own a Dog Total Own a Cat 25 16 Do not own a Cat 17 9 Total a) Take the values from the two-way table above and put them in the following Venn Diagram. Be sure to label the circles. b) Suppose that we randomly choose a student. Find the following probabilities. Pr(Own a dog) = Pr(Own a cat) = Pr(not owning a dog) = Pr(not owing a cat) = Pr(own a dog and not a cat) = Pr(own a cat and not a dog) =

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Description: I believe I did these problems right but I just need someone to check with. 2) The table below shows the results of some random high school students about their pets.Own a Dog Do not own a Dog TotalOwn a Cat2516Do not own a Cat179Totala) Take the val

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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A marketing firm wishes to test the effectiveness of the audio/visual presentation of certain information as opposed to the purely audio presentation of the information. To this end 100 volunteers were given a 10 minute presentation in which the information was presented in an audio/visual format. A second group of 100 volunteers was presented the same information in a purely audio format. Each person in each of the two groups was asked the same 20 questions related to the information in the presentation. The audio/visual group had an average of 10.5 correct responses with a sample standard deviation of 4. The purely audio group had an average of 9.4 correct responses with a standard deviation of 3. The marketing firm believes this means that the audio/visual format leads to better retention of the information. We test the hypotheses H0: 1 -2=0 versus Ha: 1 -2>0 at a 2% level of significance. Here denotes 1 the population average number of correct responses for…
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions ($1,000s) 22 ($1,000) 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 120 15.7 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 10 5 30 25 20 15 10 5+ 30 25- 20- 15- 10- .. 5- 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 25 20 15 10 5- 0 20 40 60 80 100 Adjusted Gross Income ($1,000s) 120 140 G (b) Use the least squares method to…
In a traditional class with in-class tests, a question that is often asked after a class exam is, "What was the class average?" If that question is asked and the professor says that the class average was 80, what information do the students gain by knowing that? I want you to focus on both what the individual students knows about their own grade as well as what the students know about the class's grades on that exam.
A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing Medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. a) Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and present…
I need help with just part c. Someone on here already answered it for me but I'm really confused as there are steps missing and I'm not sure what to put in the calculator. " The first quartile separates the lowest 25% of the observations from the higher 75% of the observations. The first quartile is denoted by Q1. The second quartile separates the lower 50% of the observations from the higher 50% of the observations. The second quartile is denoted by Q2.The second quartile is same as median. The third quartile separates the lowest 75% of the observations from the higher 25% of the observations. The third quartile is denoted by Q3. The third quartile can obtained as follows...." Third Quartile is 1 somehow, and I don't understand how it is.
A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and…
What is an example of something going on in your mind or body that is automatically controlled by math or has a math equation that goes with it?
A marketing firm wishes to test the effectiveness of the audio/visual presentation of certain information as opposed to the purely audio presentation of the information. To this end 100 volunteers were given a 10 minute presentation in which the information was presented in an audio/visual format. A second group of 100 volunteers was presented the same information in a purely audio format. Each person in each of the two groups was asked the same 20 questions related to the information in the presentation. The audio/visual group had an average of 10.5 correct responses with a sample standard deviation of 4. The purely audio group had an average of 9.4 correct responses with a standard deviation of 3. The marketing firm believes this means that the audio/visual format leads to better retention of the information. We test the hypotheses H0: 1 -2=0 versus Ha: 1 -2>0 at a 2% level of significance. Here denotes 1 the population average number of correct responses for…
Please answer the last three parts of this question.
For one month, 500 elementary students kept a daily record of the hours they spent watching television. The average number of hours per week spent watching television was 28. The researchers conducting the study also obtained report cards for each of the students. They found that the students who did well in school tended to spend less time watching television than those students who did poorly. Listed are several possible statements concerning the results of this research. Place a check by every statement that you agree with based on this study. a. Even though students who did well watched less television, this doesn't necessarily mean that watching television hurts school performance. b. One month is not a long enough period of time to estimate how many hours the students really spend watching television. c. The sample of 500 is too small to permit drawing conclusions about elementary students in general. d. I don't agree with any of these statements. e. If a student decreased the…