This topic contains a solution. Click here to go to the answer
« previous next »

Author Question: On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred were ... (Read 55 times)

awywial

  • Hero Member
  • *****
  • Posts: 577
on: Aug 1, 2018
On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred were under 30 years of age. A total of 250 were under the influence of alcohol. Of the drivers under 30 years of age, 200 were under the influence of alcohol. Let A be the event that a driver is under the influence of alcohol. Let Y be the event that a driver is less than 30 years old.
 a. Determine P(A) and P(Y).
  b. What is the probability that a driver is under 30 and not under the influence of alcohol?
  c. Given that a driver is not under 30, what is the probability that he/she is under the influence of alcohol?
  d. What is the probability that a driver is under the influence of alcohol, when we know the driver is under 30?
  e. Show the joint probability table.
  f. Are A and Y mutually exclusive events? Explain.
  g. Are A and Y independent events? Explain.

Question 2

In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63, and the probability that UTC will defeat Furman is 0.55 . The probability that UTC will defeat both opponents is 0.3465.
 a. What is the probability that UTC will defeat Furman given that they defeat Marshall?
  b. What is the probability that UTC will win at least one of the games?
  c. What is the probability of UTC winning both games?
  d. Are the outcomes of the games independent? Explain and substantiate your answer.


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by a Subject Expert

Hikerman221

  • Sr. Member
  • ****
  • Posts: 346
Reply #1 on: Aug 1, 2018
Answer to Question 1

a . P(Y) = 0.6 P(A) = 0.5
b. 0.2
c. 0.25
d. 0.667
e. A A c
Y 0.4 0.2
Yc 0.1 0.3

f. No, P(A  Y)  0
g. No, P(AY)  P(A)

Answer to Question 2

a . 0.55
b. 0.8335
c. 0.3465
d. Yes. Because probability of UTC defeating both opponents is equal to the probability of UTC defeating Marshall x the probability of UTC defeating Furman.


awywial

  • Hero Member
  • *****
  • Posts: 577
Reply #2 on: Aug 1, 2018
Thanks


Hikerman221

  • Sr. Member
  • ****
  • Posts: 346
Reply #3 on: Aug 1, 2018
Welcome :)


« previous next »
 

Did you know?

Over time, chronic hepatitis B virus and hepatitis C virus infections can progress to advanced liver disease, liver failure, and hepatocellular carcinoma. Unlike other forms, more than 80% of hepatitis C infections become chronic and lead to liver disease. When combined with hepatitis B, hepatitis C now accounts for 75% percent of all cases of liver disease around the world. Liver failure caused by hepatitis C is now leading cause of liver transplants in the United States.

Did you know?

Signs and symptoms that may signify an eye tumor include general blurred vision, bulging eye(s), double vision, a sensation of a foreign body in the eye(s), iris defects, limited ability to move the eyelid(s), limited ability to move the eye(s), pain or discomfort in or around the eyes or eyelids, red or pink eyes, white or cloud spots on the eye(s), colored spots on the eyelid(s), swelling around the eyes, swollen eyelid(s), and general vision loss.

Did you know?

According to the National Institute of Environmental Health Sciences, lung disease is the third leading killer in the United States, responsible for one in seven deaths. It is the leading cause of death among infants under the age of one year.

Did you know?

The B-complex vitamins and vitamin C are not stored in the body and must be replaced each day.

Did you know?

Your chance of developing a kidney stone is 1 in 10. In recent years, approximately 3.7 million people in the United States were diagnosed with a kidney disease.

Sample of an informed consent to perform an operation, sedation, anesthesia, and other medical servi Sample of an informed consent to perform an operation, sedation, anesthesia, and other medical servi
Sample Medicare identification card. Sample Medicare identification card.
Sample Advance Directive Cont. Sample Advance Directive Cont.
Sample time management planning chart for a massage student. Sample time management planning chart for a massage student.
Human civilization developed during the most recent interglacial stage Human civilization developed during the most recent interglacial stage
A 2.000 g sample of water contains 11.19% H by mass and 88.81% O by mass. What mass of H will ... A 2.000 g sample of water contains 11.19% H by mass and 88.81% O by mass. What mass of H will ...
Video: Corpus Callosum Animation

For a complete list of videos, visit our video library