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good day please help with the below as reported in the runners world magazine th

ID: 2954322 • Letter: G

Question

good day please help with the below as reported in the runners world magazine the times of thefinishers in the new york city 10km run are normally distributedwith mean 61 minutes and standard deviation 9 minutes determine percent of finishers with times between 50 and62 percentage of finishers with times more than 75 minutes please show all workings good day please help with the below as reported in the runners world magazine the times of thefinishers in the new york city 10km run are normally distributedwith mean 61 minutes and standard deviation 9 minutes determine percent of finishers with times between 50 and62 percentage of finishers with times more than 75 minutes please show all workings

Explanation / Answer

determine percent of finishers with times between 50 and62

P(50<X<62)
=P((50-61)/9 <(X-)/ <(62-61)/9)
=P(-1.22<Z<0.11)
=0.4326 (check normal table)

percentage of finishers with times more than 75 minutes

P(X>75)
=P(Z>(75-61)/9)
=P(Z>1.56)
= 0.0594 (check normal table)