#2. In automotive repair, experience has shown that a rough-running engine can be attributed tobad ignition wires 35% of the time, bad spark plugs 80% of the time, and both 20 % of thetime.(a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs firstand find them to be bad. With this information, what is the probability that the wiresare also bad?(b) If the sparks plugs are found to be good, what is the probability that wires are bad?

Answered: Image /qna-images/answer/88383756-2e58-409e-aee1-9524b867b3f1.jpg

Answered: (a) Suppose a mechanic begins to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a college in that state, then find the most likely value for the number of people who failed the test at that college.
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?
refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is
Suppose the probability that a basketball player hits a basketon a free throw is 0.91, and that the throws are independent. Consider that the player continues through rolls until he makes a mistake. What is the probability that on his 5th or 3rd free throw does he make the first mistake?
Ken has applied to both FSU and the UGA. He thinks the probability that FSU will admit him is 0.4, the probability that UGA will admit him is 0.5, and the probability that both will admit him is 0.1. What is the probability that Ken will not get into either school?
Suppose the probability of getting the flu is 0.20, the probability of getting a flu shot is 0.60, and the probability of bothgetting the flu and a flu shot is 0.10. (a) Find the probability of the union between (getting the the flu) and (getting the flu shot).
A disease affects 1 out of 10,000 people. There is a test to check whether a person has the disease. The test is accurate. In particular, we know the following: (a) The probability that the test result is positive given that the person does not have the disease, is only 2 percent. (b) The probability that the test result is negative given that the person has the disease, is only 1 percent. Question: A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?
Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The probability that the student has a driver’s license is 0.30. The probability that the student is a senior or has a driver’s license is 0.36. What is the probability that the student is a senior and has a driver’s license?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

(a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find them to be bad. With this information, what is the probability that the wires are also bad? (b) If the sparks plugs are found to be good, what is the probability that wires are bad?