A local medical research association proproses to sponsor a footrace. The averag

Question

A local medical research association proproses to sponsor a footrace. The average time it takes to run the course is 45.8 minutes with a standard deviation of 3.6 minutes. If the association decides to include only the top 25% of the racers, what should be the cutoff time in the tryout run? Assume the variable is normally distributed. Would a person who runs the course in 40 minutes qualify?

Please show your work,

Explanation / Answer

P(X>c)=0.25 --> P((X-mean)/s P(Z (c-45.8)/3.6= 0.67 (check standard normal table) --> c=45.8+0.67*3.6=48.212

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