Find the indicated percentage for the normally distributed variable. Round your answer to two decimal places, if necessary.
-Assume that the weights of nickels are normally distributed with a mean of 5.000 grams and a standard deviation of 0.06 grams. A vending machine will reject all coins with weights more than 1 standard deviation above or below the mean. What percentage of legal nickels will be rejected by the machine?

Question

Quizplus · Accepted Answer

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Therefore, if the vending machine rejects nickels more than 1 standard deviation from the mean, it will reject approximately 32% of nickels (100% - 68% = 32%).

Find the Indicated Percentage for the Normally Distributed Variable