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Concept explainers
At the Milex tune-up and brake repair shop, the manager has found that a car will require a tune-up with a probability of , a brake job with a probability of , and both with a probability of .
a. What is the probability that a car requires either a tune-up or a brake job?
b. What is the probability that a car requires a tune-up but not a brake job?
c. What is the probability that a car requires neither a tune-up nor a brake job?
![Check Mark](/static/check-mark.png)
To find:
a. What is the probability that a car requires either a tune-up or a brake job?Answer to Problem 26RE
a.
Explanation of Solution
Given:
At the Milex tune-up and brake repair shop, the manager has found that a car will require a tune-up with a probability of , a brake job with a probability of , and both with a probability of .
Formula used:
Calculation:
Let T be a car that needs a tune-up.
Let B be a car that needs a brake job.
a. The probability that a car requires either a tune-up or a brake job is given by
![Check Mark](/static/check-mark.png)
To find:
b. What is the probability that a car requires a tune-up but not a brake job?
Answer to Problem 26RE
b.
Explanation of Solution
Given:
At the Milex tune-up and brake repair shop, the manager has found that a car will require a tune-up with a probability of , a brake job with a probability of , and both with a probability of .
Formula used:
Calculation:
Let T be a car that needs a tune-up.
Let B be a car that needs a brake job.
b. The probability that a car requires a tune-up but not a brake job.
![Check Mark](/static/check-mark.png)
To find:
c. What is the probability that a car requires neither a tune-up nor a brake job?
Answer to Problem 26RE
c.
Explanation of Solution
Given:
At the Milex tune-up and brake repair shop, the manager has found that a car will require a tune-up with a probability of , a brake job with a probability of , and both with a probability of .
Formula used:
Calculation:
Let T be a car that needs a tune-up.
Let B be a car that needs a brake job.
c. The probability that a car requires neither a tune-up nor a brake job.
Chapter 13 Solutions
Precalculus Enhanced with Graphing Utilities
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