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

Question

a.) The sponsors decide to give certificates to all swimmers who finish in under 49 seconds. If there are 50 swimmers in a 100-meter butterfly, approximately how many certificates will be needed?

b.) b. In what amount of time must a swimmer finish to be in the fastest 2% of the distribution of finishing times?

Answer 1

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