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2. [? marks] The time T (in minutes) required to resolve a network failure is approximately normally distributed with a mean of 15 minutes and

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2. [? marks] The time T (in minutes) required to resolve a network failure is approximately normally distributed with a mean of 15 minutes and a standard deviation of 5 minutes. [Note: For this question you may use any of the standard normal table, RStudio, or the 6895993 rule in calculations, be sure to use proper notation] {a} Determine the probability that the time to resolve the next network failure is: i. at least 12 minutes. Include a rough sketch of the area under the normal curve, with the appropriate variable and mean labelled l ii. between 15 and 30 minutes. (b) Determine the 60\"\" percentile of the distribution. Interpret the value

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