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The time it takes to do a maze has a normal distribution with a mean of 25 minutes and a standard deviation of 6 minutes.
a) What percent of the time does it take more than 37 minutes to complete the maze according to the empirical rule?
b) What percent of the time does it take between 19 and 43 minutes to complete the maze according to the empirical rule?
c) What percent of the time does it take between 1 and 49 minutes to complete the maze according to Tchebychev's Theroem?
d) What percent of the time can the maze be completed in over 7 minutes according to the empirical rule?
e) What is the "normal" range of time in which you would expect almost all people would complete the maze?
f) A person takes more than 43 minutes to complete the maze what would you conclude about this person?
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