Use the 68-95-99.7 rule to solve the problem.
-The time it take Claudia to drive to work is normally distributed with a mean of 48 minutes and a standard deviation of 5 minutes. What percentage of the time will it take her less than 53 minutes to Drive to work?
A) $84 \%$
B) $32 \%$
C) $68 \%$
D) $16 \%$

Question

Use the 68-95-99.7 rule to solve the problem.
-The time it take Claudia to drive to work is normally distributed with a mean of 48 minutes and a standard deviation of 5 minutes. What percentage of the time will it take her less than 53 minutes to Drive to work? 
A) $84 \%$
B) $32 \%$
C) $68 \%$
D) $16 \%$

Quizplus · Accepted Answer

The 68-95-99.7 rule, also known as the empirical rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. In this case, 53 minutes is one standard deviation above the mean (48 minutes + 5 minutes = 53 minutes). Therefore, 50% of the time is below the mean, and an additional 34% (half of 68%) is between the mean and one standard deviation above the mean. Adding these percentages together gives 84% of the time it will take her less than 53 minutes to drive to work.

Use the 68-95-99 84%84 \%84% B) 32%32 \%32% C) 68%68 \%68% D) 16%16 \%16%

Use the 68-95-99 $84 \%$ B) $32 \%$ C) $68 \%$ D) $16 \%$