Your teacher tells you that the time it takes to complete an exam is normally distributed with a mean of 97 minutes and standard deviation

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Your teacher tells you that the time it takes to complete an exam is normally distributed with a mean of 97 minutes and standard deviation of 12. You want to know the probability that you finish the exam in 85 minutes or less.

a) Draw a picture of the distribution. Include the mean and +/- 3 standard deviations from the mean. Shade in the area of the distribution that corresponds to 85 minutes or less.

b) Use the 68-95-99.7 rule to calculate the probability that you complete the exam in 85 minutes or less. Express your answer in percentages (i.e., 80.20%) and round your answer to 2 decimal places. Interpret your answer in context.

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