SOLUTION: Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is

Algebra ->  Probability-and-statistics -> SOLUTION: Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is       Log On


   



Question 930376: Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in 225 to 235 minutes
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
mean = 190min, SD = 21min, z+=+blue%28x+-+190%29%2Fblue%2821%29
........
P( 225 < x < 235) = P( 35/21 < z < 45/21) = normalcdf( 35/21, 45/21) = .0317
....
Using a TI calculator 0r similarly a Casio fx-115 ES plus