Your factory has seven safety systems. During an emergency, the probability of any one of the safety systems failing is .06. The factory will be in danger if more than four safety systems fail. What is the probability of your factory being in danger during an emergency?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Your factory has seven safety systems. During an emergency, the probability of any one of the safety systems failing is .06. The factory will be in danger if more than four safety systems fail. What is the probability of your factory being in danger during an emergency?

Expert Solution
Step 1

Given data:

p = 0.06

n = 7

To find:

The factory will be in danger if more than four safety systems fail. What is the probability of your factory being in danger during an emergency?

 

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