Question

: Two hundred students were randomly selected and surveyed at a small central Ohio university. They...

: Two hundred students were randomly selected and surveyed at a small central Ohio university. They were asked about driving while intoxicated over their four week winter/holiday break. The results are summarized in the table below. (2 points each)

Did you have a driving accident?

Yes

No

Total

Intoxicated

16

8

24

Sober

3

173

176

Total

19

181

200

1.     What is the probability of encountering a student who said they were intoxicated when they were driving during the winter/holiday break?   

  

2.     What is the probability of encountering a student who said they had an accident during the winter/holiday break?  

3.     What is the probability of encountering a student who said they had been intoxicated and had an accident during the winter/holiday break?    

4.     What is the probability of encountering a student who said they did not have and accident and had been sober during the winter/holiday break?   

5.     What is the probability of encountering a student who said they did not have an accident given that they were sober during the winter/holiday break?   

6.     What is the probability of encountering a student who had an accident given that they were sober?       

7.     Are the events “having a driving accident” and “being sober” mutually exclusive events? Why?

Be sure Numbers and Equations are correct.

9.   Are the events “having a driving accident” and “being sober” independent events? Why?

Homework Answers

Answer #1

1) There are 24 students who were intoxicated when they were driving during the winter/holiday break. Hence the probability is

2) There are 19 students who said they had an accident during the winter/holiday break. hence the probability is

3) There are 16 students who said they had been intoxicated and had an accident during the winter/holiday break

So the probability is

4) There are 173 students who said they did not have and accident and had been sober during the winter/holiday break so the probability is

5) There are 176 students who are Sober and among them 173 did not have an accident

Hence the probability is

6) There are 176 students who are Sober and among them, 3 did have an accident

Hence the probability is

7) Since Mutually Exclusive can't happen at the same time. So the events “having a driving accident” and “being sober” are not mutually exclusive events.

8) There are 3 students who said they had an accident and had been sober during the winter/holiday break.

Also, 19 have an accident and 176 are Sober

Since

So the the events “having a driving accident” and “being sober” are not independent events

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In an experiment at Ohio State University in 1986, 16 students consumed varying amounts of beer....
In an experiment at Ohio State University in 1986, 16 students consumed varying amounts of beer. The amount each student consumed was randomly determined. Thirty minutes after finishing the last beer, the students took a Breathalyzer test to measure their blood alcohol level (BAL). BAL is measured by percent of alcohol in the blood. A police officer also gave each student four field sobriety tests. The tests included balancing on one foot, touching the tip of one’s nose with the...
Two hundred students were selected at random from those enrolled at a large college in Alabama....
Two hundred students were selected at random from those enrolled at a large college in Alabama. Each student in the sample was asked whether they ate 5 or more apples in a typical week, and their cholesterol levels were also measured. The average cholesterol level was significantly lower for the group who ate 5 or more apples per week than for the group that did not. A. Did the study use a random selection from some population? If yes, what...
In an experiment at Ohio State University in 1986, 16 students consumed varying amounts of beer....
In an experiment at Ohio State University in 1986, 16 students consumed varying amounts of beer. The amount each student consumed was randomly determined. Thirty minutes after finishing the last beer, the students took a Breathalyzer test to measure their blood alcohol level (BAL). BAL is measured by percent of alcohol in the blood. A police officer also gave each student four field sobriety tests. The tests included balancing on one foot, touching the tip of one’s nose with the...
A random sample of 12 college students were surveyed on their social activities. Students were asked...
A random sample of 12 college students were surveyed on their social activities. Students were asked to state how many times during the previous year they had gone to the movies or sporting events. Student 1 2 3 4 5 6 7 8 9 10 11 12 Movies 12 2 13 17 14 9 24 6 26 22 10 16 Sports 7 4 13 4 9 15 18 4 11 9 5 2 Difference (movies – sports) Once you have...
1. In a particular city, of the students who drive to campus, 23% drive luxury cars...
1. In a particular city, of the students who drive to campus, 23% drive luxury cars and 48% have comprehensive auto insurance. Suppose having comprehensive auto insurance and driving a luxury car are independent. What is the probability that a student who drives to campus in the city drives a luxury car or has comprehensive auto insurance? 2. Calculate the desired empirical probabilities (rounded to 3 significant digits) based on the airline passenger satisfaction data, summarized in the following contingency...
There are two reflective essays from MED students during their third year internal medicine clerkship. One...
There are two reflective essays from MED students during their third year internal medicine clerkship. One student sees each connection to a patient as like the individual brush strokes of an artist and the other sees gratitude in a patient with an incurable illness and is moved to gratitude in her own life. (WORD COUNT 500) Reflect on both essays and then choose one and describe how the student grew from the experience. Then explain what you learned as a...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired and 80% were pre-retired, the following question was asked: Do you expect your income needs to vary from year to year in retirement? Of those who were retired, 23% answered no, and 77% answered yes. Of those who were pre-retired, 28% answered no, and 72% answered yes. If a respondent in the survey was selected at random and had answered yes to the question,...
SERVICE MARKETING Case Study Vick’s Pizza Corporation Speed had always been a key strategic thrust for...
SERVICE MARKETING Case Study Vick’s Pizza Corporation Speed had always been a key strategic thrust for Vick’s Pizza, which was used the slogan, “It’s quick at Vick’s.” The company restaurants not only prepared pizza rapidly but also delivered it quickly. The company’s promise to home deliver a pizza within 30 minutes of a phone order or to cut $3 off the price had boosted it from a single pizzeria 20 years earlier to the status of a national chain with...
Problem 1 You are an internal audit manager in a central government department that pays subsidies...
Problem 1 You are an internal audit manager in a central government department that pays subsidies to agricultural businesses involved in the production of basic foodstuffs. You will soon be undertaking an internal audit of the claims processing unit in your department. In preparation for the assignment you are reviewing the audit file on the previous audit carried out three years earlier. You find the following extract from one of the previous internal audit’s planning schedules: • “The unit receives...
Hugh Casey slumped at his desk, totally dejected. He just read the letter from Fulbright University...
Hugh Casey slumped at his desk, totally dejected. He just read the letter from Fulbright University informing him that his application for admission into the school of medicine had been rejected. It had been his dream since high school to become a doctor, and in particular to be a heart surgeon. Hugh had been an excellent student in high school and was admitted to the highly selective Seymour College despite achieving only a modest score on the college admissions test....