The finishing times for swimmers performing the 100-meter butterfly are normally distributed with a mean of 55 seconds and a standard deviation of 5 seconds.

Let's Do It!

FEEDBACK

 

The sponsors decide to give certificates to all those swimmers who finish in under 49 seconds. If there are 50 swimmers entered in the 100-meter butterfly, approximately how many certificates will be needed?
What time must a swimmer finish to be in the top fastest 2% of the distribution of finishing times? Remember, shorter times are better.