Question

A town has two fire engines operating independently. The probability that a specific engine is available when needed is 0.96 . (a) What is the probability that neither is available when needed? (b) What is the probability that a fire engine is available when needed?

Name: Problem 89, Chapter 2: Probability and Statistics for Engineers and Scientists
Uploaded: 2023-10-18T14:31:15-08:00
Duration: 2 min 43 s
Channel: Sanchit Jain
Description: A town has two fire engines operating independently. The probability that a specific engine is available when needed is 0.96 . (a) What is the probability that neither is available when needed? (b) What is the probability that a fire engine is available when needed?

   A town has two fire engines operating independently. The probability that a specific engine is available when needed is 0.96 .
(a) What is the probability that neither is available when needed?
(b) What is the probability that a fire engine is available when needed?

Probability and Statistics for Engineers and Scientists

Ronald E. Walpole,… 10th Edition

Chapter 2, Problem 89

Instant Answer

Solved by Expert Sanchit Jain

10/18/2023

Step 1

96. Therefore, the probability that a specific engine is not available is 1 - 0.96 = 0.04. Show more…

Show all steps

Thanks for your feedback!

A town has two fire engines operating independently. The probability that a specific engine is available when needed is 0.96 . (a) What is the probability that neither is available when needed? (b) What is the probability that a fire engine is available when needed?

Play audio

Feedback

Sanchit Jain and 55 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Independent Events

Independent events are those whose outcomes do not affect each other. In probability, when events are independent, the joint probability of multiple events occurring is the product of their individual probabilities.

Complement Rule

The complement rule states that the probability of an event occurring is equal to one minus the probability that it does not occur. This is particularly useful for calculating the probability of 'at least one' occurrence by subtracting the probability of none occurring from one.

Joint Probability

Joint probability involves calculating the probability of two or more events happening at the same time. In scenarios with independent events, this is achieved by multiplying the probabilities of each individual event.

Please give Ace some feedback