Two runners are competing in a track meet. Both are hoping to beat the current record in the 100-meter dash (current world record is 9.58 seconds). Runner A’s times over the past two years are...

Two runners are competing in a track meet.  Both are hoping to beat the current record in the 100-meter dash (current world record is 9.58 seconds).  Runner A’s times over the past two years are normally distributed with mean 10 seconds and standard deviation 0.35 seconds; runner B’s times over the same period are normally distributed with mean 9.85 seconds with standard deviation 0.23 seconds.  If these distributions accurately describe the two runners’ performance in this race, which runner is most likely to beat the record?  [Note:  this problem does not require Excel or the normal table to solve.]