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 8.3​% daily failure rate. Complete parts​ (a) through​ (d) below.
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Part 1
a. What is the probability that the​ student's alarm clock will not work on the morning of an important final​ exam?

enter your response here ​(Round to three decimal places as​ needed.)
Part 2
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?

enter your response here ​(Round to five decimal places as​ needed.)
Part 3
c. What is the probability of not being awakened if the student uses three independent alarm​ clocks?

enter your response here ​(Round to five decimal places as​ needed.)
Part 4
d. Do the second and third alarm clocks result in greatly improved​ reliability?
A.
​Yes, because total malfunction would not be​ impossible, but it would be unlikely.
B.
​No, because the malfunction of both is equally or more likely than the malfunction of one.
C.
​No, because total malfunction would still not be unlikely.
D.
​Yes, because you can always be certain that at least one alarm clock will work.