Two engines (one old and one new) fail independently of one another. The probability that both engines fail is .01. The probability that ONLY the new engine fails is .03. Find the probability that... a) the new engine fails b) both engines work (do not fail)

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...
icon
Related questions
Question

TF.3

Two engines (one old and one new) fail independently of one another. The probability that both engines fail is .01. The probability that ONLY the new engine fails is .03. Find the probability that...

a) the new engine fails

b) both engines work (do not fail)

Expert Solution
Step 1

Independent events:

Those two or more events are considered independent events if the appearance of any one of the events has no impact on any of the other remaining events; that is, the likelihood of one does not affect the likelihood of others. 
 

Given information:

Two engines (one old and one new) fail independently of one another.

Let the failure of old engine be represented by O.

Let the failure of new engine be represented by N.

The probability that both engines fail is, PO and N=0.01

The probability that ONLY the new engine fails is, Ponly N=0.03

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON