The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a​ student's alarm clock has a 16.5​% daily failure rate. a. What is the probability that the​ student's alarm clock will not work on the morning of an important final​ exam? ​(Round to three decimal places as​ needed.)   b. If the student has two such alarm​ clocks, what is the probability that they both fail on the morning of an important final​ exam?   ​(Round to five decimal places as​ needed.)   c. What is the probability of not being awakened if the student uses three independent alarm​ clocks?   ​(Round to five decimal places as​ needed.)

MATLAB: An Introduction with Applications
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The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a​ student's alarm clock has a 16.5​% daily failure rate.

a. What is the probability that the​ student's alarm clock will not work on the morning of an important final​ exam?
​(Round to three decimal places as​ needed.)
 
b. If the student has two such alarm​ clocks, what is the probability that they both fail on the morning of an important final​ exam?
 
​(Round to five decimal places as​ needed.)
 
c. What is the probability of not being awakened if the student uses three independent alarm​ clocks?
 
​(Round to five decimal places as​ needed.)
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