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 100 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?

As the western states of America were settled, pioneers often had to drink rancid water from ponds and other sources. This often resulted in chronic diarrhea, causing many cases of dehydration and death that could have been avoided if clean water had been available.

Did you know?

Although the Roman numeral for the number 4 has always been taught to have been "IV," according to historians, the ancient Romans probably used "IIII" most of the time. This is partially backed up by the fact that early grandfather clocks displayed IIII for the number 4 instead of IV. Early clockmakers apparently thought that the IIII balanced out the VIII (used for the number 8) on the clock face and that it just looked better.

Did you know?

Amphetamine poisoning can cause intravascular coagulation, circulatory collapse, rhabdomyolysis, ischemic colitis, acute psychosis, hyperthermia, respiratory distress syndrome, and pericarditis.

Did you know?

When intravenous medications are involved in adverse drug events, their harmful effects may occur more rapidly, and be more severe than errors with oral medications. This is due to the direct administration into the bloodstream.

Did you know?

Earwax has antimicrobial properties that reduce the viability of bacteria and fungus in the human ear.

Blood glucose measurement. A postprandial test may be self-administered. (a) A lance pierces the ski Blood glucose measurement. A postprandial test may be self-administered. (a) A lance pierces the ski
Population genetics sample question Population genetics sample question
Sample Diet for a College-Aged Female Weighing 132 Pounds, Assuming Light to Moderate Daily ... Sample Diet for a College-Aged Female Weighing 132 Pounds, Assuming Light to Moderate Daily ...
Sample Exercise Program for Healthy Older Adults Sample Exercise Program for Healthy Older Adults
Sample Items from the Brief Multidimensional Measure of Religiousness/Spirituality (BMMRS) Sample Items from the Brief Multidimensional Measure of Religiousness/Spirituality (BMMRS)
The rates of police reported sexual offences The rates of police reported sexual offences
Video: Effect of blood chemistry - stimuli, hyperventilation response and hypoventilation response

For a complete list of videos, visit our video library