Question

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 17.417.4​% daily failure rate. If the student has two such alarm​ clocks, what is the probability that they both fail on the morning of an important final​ exam?

Answer 1

Probability that both such alarms fail is 0.03027

Explanation:

Probability the alarm fails = 0.174 (this is calculated by dividing the percentage by 100 like: 17.4/100)

Probability that both such alarms fail = 0.174 * 0.174 = 0.03027