Question

the principle of redundancy is used when system reliability is improved through redundant or backup components. assume that a students alarm clock has a 15.7% daily failure rate. complete parts (a) through (d) below.
a. what is the probability that the students alarm clock will not work on the morning of an important final exam?
(round to three decimal places as needed.)

Explanation:

Step1: Identify the failure - rate as probability

The daily failure rate of the alarm clock is given as 15.7%, which can be written as a probability. We convert the percentage to a decimal by dividing by 100. So the probability of failure $P(F)$ is $P(F)=\frac{15.7}{100}=0.157$.

Answer:

0.157