Problem

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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 $17.1 \%$ daily failure rate. Complete parts (a) through (d) below.
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.)

Answer

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Answer

Final Answer: The probability that the student's alarm clock will not work on the morning of an important final exam is \(\boxed{0.171}\).

Steps

Step 1 :The probability that the student's alarm clock will not work on the morning of an important final exam is the same as the daily failure rate, which is 17.1\%. We need to convert this percentage to a decimal for the final answer.

Step 2 :failure_rate_percent = 17.1

Step 3 :failure_rate_decimal = 0.171

Step 4 :Final Answer: The probability that the student's alarm clock will not work on the morning of an important final exam is \(\boxed{0.171}\).

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