The principle of redundancy is used when system reliability is improved through redundant or back up components. Suppose you’re on a business trip and you must awaken before 5 AM in time to get ready to catch a hotel shuttle for an important meeting. To rest assured you decide to put in a request to the front desk for a wake up call, set the alarm clock at your bedside, and set an alarm on your cell phone. Assuming you’ll awaken and if at least one of these components succeeds, and the probability of success for each of these components is .97, .98, and .95 respectively what is the probability you’ll be awakened

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