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A drag racer has two parachutes, a main and a backup, that

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 8E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 8E

A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop after the end of a run. Suppose that the main chute deploys with probability 0.99, and that if the main fails to deploy, the backup deploys with probability 0.98.

a. What is the probability that one of the two parachutes deploys?

b. What is the probability that the backup parachutes deploys?

Step-by-Step Solution:

Step 1 of 2:

We have two parachutes.

The probability of the main parachute deploys is 0.99 and

The probability of the backup parachute deploys is 0.98

Let A and B be the two event.

Let A be the main parachute deploys.

Hence P(A) = 0.99

Let B be the backup parachute deploys.

Hence

Our goal is to find :

a). What is the probability that one of the two parachute deploys?

b). What is the probability that the backup parachute deploys?

a).

Now we have to find the probability that one of the two parachute deploys.

The formula of the is

Where

Substitute .

Therefore the probability that one of the two parachute deploys is 0.9998.

Step 2 of 2

Chapter 2.3, Problem 8E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 8E from chapter: 2.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop after the end of a run. Suppose that the main chute deploys with probability 0.99, and that if the main fails to deploy, the backup deploys with probability 0.98.a. What is the probability that one of the two parachutes deploys?________________b. What is the probability that the backup parachutes deploys?” is broken down into a number of easy to follow steps, and 70 words. Since the solution to 8E from 2.3 chapter was answered, more than 1741 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: deploys, Probability, parachutes, main, backup. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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